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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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Meaning of success rate

What is the meaning of success rate? ex: success rate = 4% Someone told me it means doing something 100 times consecutively and that there would be at least 4 times it succeeds. But I think its not ...
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1answer
15 views

How many times based on two different percentages

Following is a percentage of a total population. X: 58% Y: 22% Z: 20% In Garden: X: 30% Y: 27% Z: 43% I want to calculate How many times Y is more likely in the Garden? The answer will be like ...
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1answer
10 views

Basic word problem involving percentage. [on hold]

John writes 32 pages for a report but then notices that the page limit was 22. • By what percentage does the length of John’s report exceed the limit? • By what percentage does John have to reduce the ...
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1answer
19 views

Formula to calculate change in distance to destination or origin of a straight-line path of travel

I am writing an application that consumes GPS data - and I am trying to calculate direction traveled based on a change in distance to the destination and origin. Assume that I have a straight path of ...
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2answers
53 views

How to calculate the value of a coin? [on hold]

I do not need a specific answer, but a global formula that solves this equation. There is a coin that costs 100\$ (or 5\$ or \$25 etc.) Each year, it steadily increases by 10% (or 1% or 4% etc.) How ...
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1answer
11 views

Find Original Value using result of discounted discount [closed]

Am trying to build an excel sheet where I have an known Target Price (TP) that I want to achieve but don't now how to get the Original Price (OP). TP = (OP - 10% discount on OP) - 20% fee on ...
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19 views

Probability/odds of an occurrence

Suppose we’re deciding between two player trios, and we estimate the odds of each of them reaching a certain level of production as follows: Group 1: 40 percent, 40 percent, 10 percent Group 2: 30 ...
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3answers
27 views

Rounding a percentage to the nearest multiple of $\frac{1}{n}$

If I take a percentage like $60\%$ I can easily round it to a multiple of $\frac{1}{n}$ where $n=2$ like this... $$60\%\doteq50\%$$ $$50\%=\frac{1}{2}$$ ...or where $n=3$ like this. $$60\%\doteq 66\...
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3answers
30 views

Finding percentage increase of area [closed]

Find the percentage increase in the area of a triangle if its each side is doubled?since no information is given about the type of triangle in question, so should i take a equilateral or isosceles or ...
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1answer
14 views

Calculate total percent change from incremental changes

Is there a formula to calculate a total percent change of a value from multiple changes? Example: Initial: 100 -10%: 90 +5%: 94.5 -20%: 75.6 So I am looking for ...
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3answers
31 views

Derive Compound Interest Formula [closed]

I'm trying to derive Compound Interest Formula $100 is given 1% interest per month I can manually work this by hand (and Excel) See how the formula just expands? How to create simple formula such ...
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1answer
28 views

Theroretical percentage overlap

I've spent a long time searching but cant find any information. I'm probably searching the wrong terms. Example: If 50% of chairs are red, and 25% of chairs are tall. What percentage of chairs are ...
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2answers
17 views

What does the relationship between dividing percentages signify in this problem?

The following is an example calculation from Wikipedia's page on Percentage: I understand everything up to the point where 3% is divided by 10%. I cannot seem to understand why these two percentages ...
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0answers
39 views

statistical analysis

Let's assume we have a (MOBA) video game like (League of Legends). And we have a big analysis table of champion data. Now we pick the data of a specific champion, and look at the 70.000 games played ...
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1answer
27 views

Apply “buy X get Y” discount on N products

Consider a product is added to a cart with quantity of N and "Buy X and get y" offer is applied i.e. Buy two get one free. If n = 3 then I could simply apply a discount rate of 33.33 on each product....
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1answer
42 views

How to calculate probability of winning bowl pool?

I currently have a spreadsheet that keeps track of players and their respective picks as to who they think will win each college bowl game. At the beginning, before any game is played, each player has ...
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1answer
21 views

Strength of salt in a mixture is p%. Various concentration of slats are added

The strength of a salt solution is $p$% if $100$ ml of the solution contains $p$ grams of salt. If three salt solutions A, B, C are mixed in the proportion $1 : 2: 3$, then the resulting solution has ...
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0answers
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Mixing two different essential oils to their maximum safe dilutions in one carrier oil

I want to mix cinnamon bark essential oil (safe at a maximum 0.5% dilution) with tea tree essential oil (safe at a maximum 15% dilution) in shea butter. Shea butter is safe undiluted. The above ...
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1answer
33 views

a Function to Push Numbers Away From a Central Number

I'm looking for a function that takes an array of values between a..b (like 0..1) and a central point a < c < b (like 0.5) and a factor (like 2, 3, 4, etc) and pushes all the array's values away ...
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0answers
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Split up bonus inversely to errors

I have five teams, A-E, who have made errors as follows (errors are percentages): A 30 B 20 C 12 D 22 E 16 I have to allocate a bonus of $50 in inverse ...
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0answers
62 views

Equivalent expression with percent problems

Rob spent 25% more time on his research project then he had planned. He spent an extra h hours on the project. Which of the following expressions could represent the number of hours Rob actually ...
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1answer
58 views

Calculating Change in Percentage

Q) the value of particular stock increased by 10% everyday for first four days a week. However its value decreased by 30% at the end of the fifth day compared to its value at the end of the fourth day....
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1answer
28 views

What is the full amount of calculated 5% vat amount $17.8? [closed]

I need to know the full amount for the 5% vat, which is given as $ 17.8 I need the principal amount on which this 5% is calculated?
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1answer
15 views

Percentage change of a quotient

This was line in my Econ notes that was "by definition". If anyone can clarify this I would really appreciate. We have a relationship: $APL = \frac{Y}{L}$ Now, define $\Delta x$ as "percentage ...
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0answers
18 views

How to infer the smallest possible size of the used sample based on the %?

I'm not a mathematician, so sorry for a confusing title. Let me explain. For example, I'm shown a pie chart and it is split to 50% and 50%. So logically, the smallest possible sample to achieve that ...
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0answers
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Percentage chance of bringing home a raffle prize

So I bought 3 tickets for a raffle and 100 tickets were sold. Once tickets are taken out they are not returned to the pot to win again. There are 40 prizes total. What are the odds that I win 1 prize ...
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0answers
36 views

Number of oranges left [closed]

At a fruit stall, $40\%$ of the fruits were oranges and the rest were apples. After some oranges were sold, the number of oranges became $20\%$ of the total number of fruits remaining. There were $120$...
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1answer
40 views

Percentage with negative numbers

I have several competitors in an economic market, each one with a score of a strength indicator. Scores can vary in [-inf,inf]. For a subset of competitors, I need to calculate their relative ...
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2answers
25 views

Calculate the reverse percentage if total is unknown

Lets say, I'll get 100.000 USD in 30 days, but I need most of the money now. I find a (possibly weird) bank who offers me 1.25% interest for these 30 days, which is $1250. So they pay me 98.750 USD ...
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2answers
19 views

Total fish in a tank

A tank had 20 clownfish and angelfish. 4 clownfish were sold and some angelfish were added to the tank such that the number of angelfish increased by 50%. After that, there were 18 fish in the tank ...
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2answers
18 views

Number of pupils in the school choir

The number of pupils in the school choir increased by 12% to 56(it seems like this is not a percent). How many pupils were there in the choir at first? My question is, how do I create an algebraic ...
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13 views

Hypergeometric Distribution & Probability of selecting without replacement & n Percentage

I will ask my question through an example. There is 100 man in N. 20 man "have card", 80 man "does not have card". If i randomly pick 50 man, what is the percentage of "man with cards" in this 50 ...
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2answers
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How to get the reverse percentage (not amount of reverse percentage)?

if 100 x 1.17 (17%) = 117, how can I know how many % I have to deduct 117 to get 100? Obviously, this is no more 17%. The same can be applied if 100 - 10% = 90. Then how many % I have to add to 90 ...
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1answer
15 views

Average percentage of a subcategory

I have a list of numbers of unknown length whose average is x (in fact its 68, but that's not relevant). Some subcategory of that list has an average of y (71) - I don't know how many items are in ...
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1answer
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Pizza Problem, percents

A medium size pizza at Ristorante Porcupine is 10 inches in diameter. A large pizza is 21 inches in diameter. What percent larger is the area of a large pizza? Express your answer to the nearest ...
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Wally Bought A Dog

Wally bought a dog. There was a $25\%$ discount because it was a sale day, a $10\%$ further discount off of the result because it was a big dog, and a $5\%$ further discount off of that result because ...
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Straight forward question about fraction — re-arrange fractions and percentage

Let's say I want to interview $123$ students (years $1$ to $6$) and I'll find $40\%$ of them in the first year of the medical school, and $10\%$ of them in the second year, $20\%$ in the third year ...
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3answers
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Basic maths: Interview question getting proportion from averages

It's probably simple but I was given this question in a video interview recently and I spent ages coming up with two different answers. (please let me know if this is the wrong place for this, I'm ...
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11 views

How do I create a commission structure (%) that goes up when markup (another %) goes down?

I am trying to create a formula in Google Sheets. I have two variables. A sales markup, for a retail outlet, and a sales commission for a salesperson. Ideally, I would like the relationships between ...
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1answer
29 views

What is the correct terminology to be used when talking about % changes?

Throughout my life, I read a "60% increase in x" as $ 60\% * x + x $. For example, if a question asked, "If the initial value of Gold was $39, 162 and if it increased by 50%, what is the price now?", ...
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1answer
20 views

Percentage of Outcome

I have a vendor bill which I need to pay. It is for $800. The government mandates that before I pay the bill I deduct 2.73% from the paid amount of this bill because the vendor is non compliant. How ...
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1answer
34 views

How to add percentage value by multiplication?

I'm studying the APL language and doing the exercises here: One of the questions is: b) Add 15% to each number in the list 14 5 78 145. I tried this: ...
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2answers
27 views

Percentages on population [closed]

The population of london is 12,60000. Of this 2/3rd are men and they are to marry women of London only. If 40% of men were married, find the % of unmarried women?
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1answer
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Percentages on votes [closed]

In an election 60% of votes cast their votes. There are 80,500 people in the area. In a contest between Mandy and Shah, Mandy won the elections by 1300 votes more than Shah. By what % of votes cast ...
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How to calculate percentage distribution after changing the set

My first language is not English so I apologize if I use incorrect terminology. EDIT: There is a better example with pictures at the end of the post For the sake of argument: I have a table of 10 ...
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1answer
21 views

Need help in finding my mistake in one fraction/percentage word problem

Question : Jennifer has 40% more stamps than Peter. However, if she gives 45 of her stamps to Peter, then Peter will have 10% more stamps than Jennifer. How many stamps did Jennifer begin with ? ...
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2answers
37 views

Probability with 3 dice

My friends and I play a dice game with three dice. One of the winning combinations is 4-5-6. Which can be made with any of the dice as long as the sequence comes via any of the three dice. I ...
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1answer
35 views

Convert lowest number to highest score and highest number to lowest score

I apologise if this is something very basic, but I really struggle with maths! I am programming a system where the shorter the distance between two locations the higher the score will be out of say a ...
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1answer
15 views

Percentage of percentage to get a normalized trend

I am not really good at math and just would like to understand whether what I make makes sense: I have two different teams who estimate their effort while working on two identical projects. Team A ...
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5answers
36 views

Which is right way to calculate percentage?

A student gets the following marks. 50 out of 100 120 out of 150 30 out of 50 In first method : I calculate the percentage as (sum of obtained marks) / (Total marks) * 100. Hence [(50 + 120 +...