# 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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### Relationship MoM% index variation with YoY% variation

I am trying to understand the relationship between MoM CPI index and YoY. If the following applies: -the YoY% changes are the accumulated changes in the last 12 months; -the average of the accumulated ...
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### calculating percentage with mean and standard deviation given [closed]

what percentage of the class achieved a first-class pass (i.e., 75% or greater) in 2016? (round off to one decimal place) mean=60,9 standard deviation=12,42 N=171
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### this is an aptitude maths question i have no idea how to proceed can someone help

At the Fiery Drink Bar, a bartender, after a lot of experimenting found out that Vodka, White Rum, Gin and Tequila if mixed in different concentrations can create four very exciting drinks which he ...
1 vote
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### Combining Rate of Winning | Multiplication or Addition

Problem Imagine I play the lottery and have a $2\%$ rate of winning. My friend also plays the lottery and has a $1\%$ rate of winning. Whoever wins, we will share the prize. We could think our ...
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### Smooth / replace random system from lootbox reward in game

I am creating a game and dislike the usual random system of reward a lot. Id like to drop a specific item with a chance of 1%. The usual methode would be to call a random function 0-100 and check if 1 ...
1 vote
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### Compounded Annual Growth Rate with Negatives

I was trying to figure out the CAGR of EBIT of certain companies that filed for bankruptcy. Needless to say, most of these show a negative trend in their EBIT values, often starting from a positive in ...
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### How do I apply a percent increase to a single element in a probability set, with a percent decrease to other elements?

Similar to my last question, I'm trying to figure out how to do something for the game SCP: Secret Laboratory. There are four victory types in the game: Facility Forces (MTF) Win Chaos Insurgency Win ...
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### How to calculate original amount before the discount?

I have an amount I want to receive: 350€ I know from the original request I will have to do a discount: 40% What is the original request I have to ask? ...
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### A level 2022 Jan question on percentage increase

https://i.postimg.cc/8Pm546SH/Screenshot-20220427-114501-Drive.jpg https://i.postimg.cc/Z5YqM5Yh/Screenshot-20220427-114552-Drive.jpg In jan 2022 WBI12/01 they asked 9c. In 1963, there were only three ...
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### What is the fastest way to find the product price in combination with an advertising value

I would like to sell many products on Ebay, so it is important for me to find the best price for each item. The lower the price, the better my search ranking (I would like to get on rank 1). So I ...
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### How do you find by what percent a number is more or less than another number. [closed]

Lets say by what percent 50 is less than 100? (100-50/100)*100 (100-50/50)*100 over here which of the following options are right 1 or ...
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### how many liters of 30% saline solution would it take to turn an 8-liter container of 15% saline solution into 25%?

how many liters of 30% saline solution would it take to turn an 8 - liter vessel of 15% saline solution into a 25% solution? I got this question on a test and did not know the answer, I havent been ...
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### What is the intuition behind the probability intersection formula?

I am trying to learn the maths I need for data science, but I left formal maths education so long ago that my maths intuition is incredibly weak. I am confronted with the following explanation, and I ...
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1 vote
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### Calculate average level likely to be achieved from compounding percentages

Say I am playing a difficult videogame where the goal is to get to the highest level possible without dying. Now say the chance I have of beating a level is x%. What would the average level achieved ...
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### Determine the consumption for a new voyage of 15% increased distance, at an increased speed of 5% and with the mass reduced by 10%?

The fuel consumption for a ships voyage varies directly was the (mass of the ship)^2/3 , varies directly as the (speed of the ship)^2 and varies directly as the distance of the voyage. For a ...
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1 vote
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### Relative or Absolute Percent of Changing Total?

I don't have a math background so am lacking in intuition when it comes to problems like this. I have X green apples out of a total of Y apples (red, green, etc). Let's say X=5 and Y=20, so I have 25% ...
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### Exponential growth percentage conversion

The question states: If bacteria is doubling in size every 20 minutes, at what % rate is the number of bacteria increasing every hour? So firstly using the rule of 70, I approximated that the ...
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### calculating weekly occupancy given daily capacity and booking

I aim to model weekly room occupancy as percentage but observe a very "bipolar" (?) distribution (majority of rooms either have 0% or 100% occupancy). This made me wonder, if I possibly do ...
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### Calculate users overall percentage for daily quiz

I have a daily quiz where a user has 3 attempts to answer correctly. So they will either answer on attempt1, attempt2, attempt3 or be wrong. I store the daily answer rate for each individual date and ...
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### Calculate maximum affordable property value for given capital, taking stamp duty into account

I want to calculate maximum affordable property value for given capital, taking stamp duty into account Assume the only house-purchasing costs are the house price plus (UK) stamp duty. For any given ...
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### Is there any easy way to estimate this formula?

I often see this formula, the percentage is same, $$\frac{28311}{1+16.8\%} \times 16.8\%$$ $$\frac{21011}{1+15.7\%} \times 15.7\%$$ $$\frac{11019}{1+12.5\%} \times 12.5\%$$ is there any easy way ...
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### Is there a mathematical term for sub allocation?

Coming from a finance background there are formulas (e.g. Kelly Criterion) you can use to optimally allocate your money to specific assets. So for example I want to allocate 20% of my money to asset x....
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### Percentage between 2 numbers with a negative in reverse

I am working on some game code and I have an image that I need to figure out the percentage from the top and left relative to the coordinates on a map, left on the map is 9688 and right is -5300. How ...
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### Percent contribution between positive and negative number

I need your help Process 1 + Process 2+ Process 3 = total Problem 1: If process 1 value is -900 but the total value is 300 I need to find how many percent contribution of process 1 to the total value? ...
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### Find the percentage of inmates who will recidivate

I'm working on a paper and one of the texts states "On average, inmates who participated in correctional education programs had 43% lower odds of recidivating than those who did not...this ...
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### Is this the correct way of calculating percentage of marks?

Consider this addition of the fractions: \begin{align} \dfrac{1}{2}+\dfrac{10}{30}=\dfrac{5}{6}. \end{align} Then consider a case where a person has got $\dfrac12$ in a subject and $\dfrac{10}{30}$...
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### profit loss problem

A butcher sells $30\ kg$ beef with $40$% profit and sells $24\ kg$ chicken with $75$% profit. The butcher gains same profit from the both sales. What is ($1$ kg chicken price) / ($1$ kg beef price)? ...
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### Percentage of goal, target range

first time question-asker here. Not sure if I'm wording the title right but I'll try to explain. This is a business problem. I have a set of goal percentages (50%, 100%, 150%) and a corresponding set ...
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### Find a suitable method to obtain time based similarity percent?

Problem description The question is described in the attached picture.
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### Total Percentage from Multiple Percentages [closed]

I have to give an overall percentage score to learners after they sit two tests. The first test is scored from 16 and the second is scored from 48. The overall score, therefore, is taken from 64. Let'...
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### Percent increase by replacement

I need an equation to calculate the percentage of hot water it would need to raise cold water to x degrees using a mixing valve. The mixing valve decreases the amount of cold water as it increases the ...
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### How to calculate an aggregate of percentages?

I have a task, and it's children. Now each child is having an amount and a estimate, which is a said percentage of the amount. So for example, if I have an amount of 100 and an estimate of this amount ...
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### Issue with Double Boltzmann Sigmoidal calculating 1 or 100% within designated duration.

I'm using a Double Boltzmann Sigmoidal for a percentage model over a set overall duration however I'm unable to have it equal 1 or 100% at the end of the duration. \begin{align} & A = A_1 + A_2 = ...
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### Proper way to transform to percentage

This is surely easy but I am somewhat confused. I have a scale 1-7 (7-point-scale) and want to transform them into 0 - 100 (percentage), so 1 = 0% and 7 = 100%. Do I have to divide 100 by 7 or 6? I ...
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### What is the logic behind percentage formula? [closed]

Does anyone know what is the logic behind percentage formula? For eg. (a/b)*100 Why do we divide a by b and then multiply it by 100?
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### Equation for "$a$ is greater than $b$ by $40\%$"

Most people answer $$a = b + \frac{40}{100}b$$ but I think this should also be right $$a - \frac{40}{100}a = b$$ Is one of them wrong or both are correct? Or the statement is lacking details of 40%...
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### How would you calculate the percent in time saved from months to hours? [closed]

I'm trying to turn what I did in my last job into a quantifiable metric. I am in need of a bit of guidance. If it used to take [company x] two months to make push out a new feature, and now it only ...
1 vote
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### minimizing this expression: $\frac{(x+y)(c+d)-(z+w)(a+b)}{(a+b)(c+d)}$

Jody and Shelli each receive a box of buttons on Saturday and on Sunday. Each button is either red or white, and the number of buttons in each of the four boxes is from $1$ to $100$, inclusive. On ...
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### Percentage of contribution using average

I want to calculate how much an individual employee in a Business Unit (BU) of a company contributed to the overall total expense (salary) of that BU. I have the company wide calculated Average Salary ...
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### What is the name of the % change calculation where from -1 to 1 is considered +200%?

I'm doing some work in a domain where it is normal to say that if the value was -1 and is now 2 There has been a ...
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### Calculate Whole from Fraction

The goal is to calculate the total of a statistic which has only percentages but no absolute numbers. It is known that the values of total and all percentages are integers. I want to find all values ...
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### Cumulating (is that a word) components of a percent change

I have a series of numbers I'll call daily balance. The balance changes each day by an expected but different percentage. So I have an expected percent change and an actual percent change. I'll ...
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### Decibel to percentage within a given range

I'm not sure if this is possible at all or if its not possible with the information that I currently have. If it's not possible please let me know. I'm not the best in math so searched on the internet ...
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### How to Infer Absolute Changes from Percentage Changes?

I have a set of financial "positionbook" data that shows the percentage of traders who are holding "long positions" versus "short positions" in a financial instrument at ...
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I'm sending a transfer from the Stripe payout service API. I'd like to calculate out the Stripe payout fees ($0.25$%) from each transfer to a bank account? Problem - I need to collect/recoup fees from ...