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Questions tagged [percentages]

A percentage is a number or ratio expressed as a fraction of $100$. It is often denoted using the percent sign, "$\%$", or the abbreviation "$\mathrm{pct}$." -Wikipedia. Percentages are used when describing portions or proportional changes.

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Minimum Population for Rounded Percent Increase.

I recently saw an infographic comparing growth in different government sectors in my home country. The graphic decided to represent growth as whole number percent increases, with no more information ...
dmaynard's user avatar
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2 answers
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Average item cost [closed]

So let's say I can open up crates that have balls in it, but the amount of balls received from each crate has different percentage probability. As shown bellow: ...
Jason C's user avatar
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Finding the percentage change in the slope with the correct plus or minus symbol.

I am trying to build a formula with the data that I have below. The formula will be embedded in a Arduino sketch. Column A is the time stamp and Column B is my voltage value. Column C is a threshold ...
Mars Sojourner's user avatar
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Discrepancy between the average annual return and the actual stock price

I would really appreciate it if somebody can help me with the math on this one. I feel the need to apologize in advance if this errs on the dumb side. If somebody could walk me through this and make ...
Magus's user avatar
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Brainfreeze! reduce a number by a percentage so that the number after X iterations is below 1 [closed]

I am having a sort of brainfreeze or cannot express the mathematical formula for the following: I have a Natural Number X and I want to reduce it by a Percentage e.g 4% Y times that after Y iterations ...
kg_root's user avatar
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How is percentage difference between two numbers defined?

When comparing two quantities, say $x_1, x_2$ or something casually, I frequently use the phrase "they're within X%" but I use it rather loosely because mathematically, to compute the ...
roulette01's user avatar
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Cookies energy problem

On the package of cookies Martino reads that the energy value of 100 grams of the product is 400 kcal; moreover, a single cookie, whose weight is 25 grams, contributes 5 percent to the individual ...
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Mean of quotient vs quotient of the sum of numerator and the sum of denominator

Prove or disprove the following inequality. $$ \frac{\sum_{i = 1}^n a_i}{\sum_{i = 1}^n b_i} \geq \frac{1}{n} \left( \sum_{i = 1}^n \frac{a_i}{b_i} \right), $$ where $a_i \leq b_i$ for all $i = 1, 2, \...
s20012303's user avatar
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26 views

Adding Sections Completion Percentages of a Whole

If a project is divided into two parts and part one is 50% complete and part two is 25% complete, what percentage of the project is completed? ...
Diomedes's user avatar
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Compare positive and negative percentages

I know that is a very, very trivial question... But I'd be super thankful for any help. Lets say you have three values where each describes the velocity of a car. 50 kmh, 100 kmh, 150 kmh I just want ...
Lenn's user avatar
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Does math have a convention for multiplying percentages like we do with other units?

We know that $10 \text{ cm} \times 10 \text{ cm} = 100 \text{ cm}^2$ , where we can write $\text{ cm}^2$ which is a Square Unit. Does it fit mathematical convention to write $\%^2$ with the Square ...
Shaun Luttin's user avatar
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Help with solving a GDP rate question?

The gross domestic product (GDP) of a country A is growing at a constant rate. In 2021, the GDP was 125 billion dollars, and in 2023 it was 155 billion dollars. At what percentage rate will the GDP ...
Isaac Yang Hao Tung's user avatar
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Calculating cold temp on mixing valve

I need a formula to calculate the cold temperature on a mixing valve system when given the hot temp, mixing percentage, and mixed temp. I can determine the hot and mixed temps with temp probes, but ...
Geo's user avatar
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percentage unite (problem solving for primary school)

I am trying to come up with an interesting problem to show my students how the percentage units work. In their book I can only find the problems for ex: "the interesting rate has risen from 2% to ...
Midica Milovanovic's user avatar
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39 views

Percent Change Day by Day

I want to confirm that my reasoning is correct for this problem. A company's initial stock price on the day of its IPO (Monday) is \$100. On Tuesday its price increases 10%, and on Wednesday its ...
Nate's user avatar
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Percentage Similarity within Range

I am trying to calculate the similarity between two times. In C# I'd get these values using something like TimeStamp.Ticks; in general, I'm thinking of some ...
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Calculating percentage of a profit

399 is the amount you will gain if you invest 345 Therefore profit is 399 - 345 = 54 I want to express profit as percentage of the amount that you'll get back but I'm not sure why 2 methods give ...
metablaster's user avatar
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% of unknown number when trying to find unknown number

I'm working on a spreadsheet for my small real estate business and I'm stuck on a math problem. I want to find the minimum rent I can charge for a property to still break even. I know the monthly ...
jbuck's user avatar
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1 answer
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How do I use math to calculate the percentages of multiple random events happening

I'm creating a mod to a video game that will list the percent chance of an event happening. I know how to get individual percentages, but not a total percentage of the events. The Problem: So there is ...
Frustrated programmer's user avatar
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Contribution of a single value in a Division of Sums

I need to isolate contribution of a single entity in a Division of Sums as shown below. For example, find the contribution of variable a in the following: (a 1 + b ...
Maddy's user avatar
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Determine point from one aspect ratio to an equivlent aspect ratio

I am working on a code program and get the X and Y coordinates of my cursor. My aspect ratio is 1280x720 and a point I am using for an example is (710, 300) however my x and y values must be 0.0-1.0, ...
semiflourcesentpenguin's user avatar
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The number of bacteria in a culture is 1000 and this number increases by 250% every two hours. How many bacteria is present after 24 hours?

Had to find a recurrent relation for this problem and then find the explicit formula to get our bacteria amount after 24 hours. I got the question wrong because my recurrence relation was wrong. ...
Wsiz's user avatar
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Converting a ratio into percentage.

As per many websites and text books, 3:4 converted into % is 75%. But as per my understanding, its not. If 3:4 is the ratio of boys and girls in a class, then it means that 3 out 7 are boys and 4 out ...
Nidhi Mittal's user avatar
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Strange behavior and output from percent function in calculator. Can some explain to me what is happening here? [closed]

I'm building a calculator web app as a learning exercise, and when I got to the percent function I noticed something strange. While entering this input on an iPhone calculator - I didn't have a ...
luis.madrigal's user avatar
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1 answer
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2016-2022 inflation. Mismatch using CPI and percentage multiplication [duplicate]

*** sorry for double question *** Please, i'm going crazy :) This is my problem and i hope you can help me. I need to calculate total inflation for the period 2016-2022 in a certain coutry. The ...
Alessandro C's user avatar
-2 votes
1 answer
45 views

Problem with inflation 2016-2022 : CPI and percentage mismatch

this is my problem and i hope you can help me. I need to calculate total inflation for the period 2016-2022 in a certain coutry. The problem is that I can't match the data, obtaining the same result ...
Alessandro C's user avatar
1 vote
2 answers
80 views

How to calculate the chances of 2 chances/odds being true…?

I was thinking about making a JavaScript chances percentage calculator that would combine to chances to make one… If you don’t know what I mean.. Say: 5% of the world population can solve a Rubik’s ...
Cohen Johnson's user avatar
1 vote
1 answer
103 views

calculating total weekly percentage increase when new datasources also added

I'm not sure if I can accurately describe my situation. We have data (a starting value usually between 30000 and 50000) from four different sources, and each day the values for each source increases ...
Midavalo's user avatar
-1 votes
1 answer
85 views

How does this 2D6 probability math make sense? [closed]

I have a question about understanding the math to a previous question I had posed (answered successfully). Link at the bottom. The question is how does it make sense that rolling a 2D6 Die consisting ...
Keith Plunske's user avatar
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What is the chance of getting same decimals of percentage 4 times in a row with RNG?

I was rolling some random percentage with RNG between 0 and 1; if you multiply the result to 100, you're getting the percentage between 0 and 100, decimal amount was 4. And then I got 0.7171% the ...
ʈɦɘ ʙɑɕʞ's user avatar
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Percentage within each other?

Consider finding what percentage the values $15$ and $23$ are within each other. How would I calculate this? To me, it is not clear whether to do $\frac{23-15}{15}$ or to do $\frac{23-15}{23}$ to find ...
James Chadwick's user avatar
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43 views

Adding percentages to a number

If I want to multiply with multiple percentage increases, I convert it to decimal and then calculate. Example: 1 * 1.4 * 1.2 = 1.68 Now, I came across someone on reddit who calculates it the following ...
Punishbear's user avatar
1 vote
4 answers
300 views

Fractions and percentages

I have a question for my sons homework that he and I are struggling to solve. Janet spent $\frac{1}{5}$ of her salary and an additional 146 on food every month. She then spent $\frac{1}{3}$ of her ...
Snowbody's user avatar
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2 answers
61 views

How to calculate the percentage to add to a increasing amount to get a total in a fixed time? [closed]

Let say I want to earn 2000€ with an investment done each day in a year (i.e. a percentage every day, for 365 days). I have a initial budge of X amount. Which percentage (per day) I have to gain to ...
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Why do I get a different answer when I use the total percent?

I feel like this should be obvious, but I am still struggling to wrap my head around this: Suppose Bill has $1000$ apples and $2000$ oranges, while Sue has $1500$ apples and 500 oranges. Now suppose ...
ThaddeusM's user avatar
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48 views

If I know the ratio of two variable differences, how to write it as a percentage increase?

I know that $ \dfrac{\delta x}{ \delta y} = 5.8,$ meaning that the change in $x$ is $5.8$ times the change in $y.$ Is there a way to write this as a percentage increase? For example, there is a '$p$' ...
idkusrname126's user avatar
1 vote
1 answer
35 views

How to make logical sense of following problem with ratios/percentages

I have the following variables L M T L1 M1 T1 L2 M2 T2 L3 M3 T3 L4 M4 T4 where $L+M=T$ I want to calculate an approximate value for the 4s using the ratio between the 2s and 1s, and then ...
Bobby Shmurda's user avatar
1 vote
1 answer
418 views

Appropriate Mathematical Symbol for Percentage Representation: $=$ or $\implies$?

I am unsure if this is the appropriate forum for my question, but I have been struggling to articulate it accurately while searching for a solution online. I am uncertain if I am overthinking the ...
alper's user avatar
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How to Calculate the Total Probability of Success from Weighted Variables

I am trying to determine the total percentage of this project being successful. We have about 5 different variables which each carry a different weight. The weight of the variable is how critical it ...
Cody Meree's user avatar
0 votes
1 answer
54 views

Reducing a scaling formula [closed]

$X$ can be between 4 and 10 For every number $X$ is below 10, reduce $Y$ by 5% For example, if $X=7$, then $Y'=0.85Y$ (100 - (5 * (10 - X))) * Y / 100 Can I reduce ...
user433342's user avatar
-1 votes
2 answers
83 views

How can I reverse the percentage of a number? [closed]

For example, I have an x ​​number. 15% of x number is taken as discount and subtracted from x number. Then 10% of the remaining result is added to the result as tax and the result is found. Let's call ...
Joseph's user avatar
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1 vote
1 answer
40 views

Percent Down / Up curve

If I create a curve where, starting from a given $Y_{0}$, each new $y$ is down of $p$% and then up of $p$% (that is, the same percentage), is it known by some name? What could be suitable equations to ...
Jada's user avatar
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0 votes
2 answers
135 views

Simple looking but difficult fraction problem

If I use my phone continuously, its battery will last for 6 hours. If I do not use my phone, its battery will last for 60 hours. On a plane trip, I use my phone for only half of the trip. The phone is ...
uggupuggu's user avatar
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0 answers
41 views

Depreciation of value

I need help finding out at which percentage a car's value decreases by each year. It changes by the same percentage each year, and by year $5$ it's value has decreased from $325000$ to $70000$. By ...
Honeydew's user avatar
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0 answers
20 views

Does averaging percentages of "accuracy" make sense? (example)

In my situation, we estimate cost and then compare the estimated and actual costs to get our estimation error: actual/original estimates. Now, does it make sense to calculate an average estimation ...
Pelog's user avatar
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1 answer
80 views

A ten dollar loan over two weeks at 8% a day

In one of the Hey Arnold show one character calculates amount of money that needs to be returned after a loan this way: "A ten dollar loan over two weeks at 8% a day. That's $18.47" I wonder ...
eugenekr's user avatar
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1 answer
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Sample size that contains the ratio of the population

If we have a recorded percentage (statistic) on a population, if we take random samples we might not encounter the percentage till e.g. even we exhaust the population. E.g. a box with $500000$ balls ...
Jim's user avatar
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Calculating a sub percentage when other weighted sub percentages and the total percentage are known.

I am working on retirement planning and having a problem working out an equation. I have a good model with all retirement funds and projections including deferred growth annuity equations. I am trying ...
Bob A.'s user avatar
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1 vote
2 answers
80 views

Derive a formula to successively decrement a given value by $x\%$ $n$ times

I have a value where it needs to be decremented by $x\%$ successively $n$ times For example, for $$\begin{align*} \text{value} &= 100 \\ x &= 2\% \\ n &= 3 \end{align*}$$ we expect the ...
Code Guy's user avatar
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0 answers
21 views

Is there a different term than percentage when wanting to show frequency of apperance?

I have a rather basic question about the implication of using percentages in presenting things. Example: Assume we have a box with $500$ balls of which $50$ of them are red and the rest are all white. ...
Jim's user avatar
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