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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Multiple percent calculations

I would like to ask trivial question about calculating percents. Problem appeared during accounting calculations. I've got $100$ Euro of Tax. There was a $10\%$ ratio which I was allowed to deduct from payments. Now there is a second pre-ratio,…
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How much water must be added to $10\%$ of $350\text{mL}$ alcohol to dilute it to $5\%$

You have $350$ml of cider, with a $10\%$ alcohol content. If you want to dilute the drink to end up with a $5\%$ alcohol content, how much water would you need to add?
M-R
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How do I convert a percentage from a 1%-100% scale to a different scale?

So if I have 9%, and this 9% fits in where 0 is the lowest and 100% is the highest, what would that 9% be if 25% is the lowest and 75% is the highest? What would the formula be to convert a percentage or a "normal" scale to a different scale?
Tim
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Percentage of All

2% of children in PA have a developmental disability. Of these, 40% live below the poverty line. In comparison, only 35% of children without a developmental disability live below the poverty line. What percentage of ALL children in PA live below…
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Fairly easy Compound Interest question

Hi I just want some verification that my answer is right if that's ok: Question: Tim has \euro 1000. A bank offers to pay $5\%$ (pa) (payable quarterly). How long must Tim deposit the money so that she may withdraw \euro 1500. Answer: $n_{min} =…
moony
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How many can speak English given the following conditions?

In a class of 60 students,40% speak only Hindi(H).25% speak only English(E) and the rest can speak both the languages.How many speak English. MyApproach Using VennDiagram,I see $40$% only H and $25$% only E. Now,$40$% of $60$=$24$ This means $24$…
Jason arora
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Percentage and Geometry Relations

I would like to know the approach for followings: Que 1: Volume of Cube is increased by $72.8$%, determine the % increase, in the side of the cube. My Approach: Step 1: Volume of Cube = $a^3$ Step 2: Volume increased by $72.8$% $= a^3 + 0.728a^3 =…
divy3993
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How to compute the percentage of difference between two values?

If there are two real values called week1val and week2val, what operation is required to calculate the percentage of difference between the two values? Does the higher of the two values need to be used for calculation, the lower of the two, or…
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Calculating percentages of percentages

I am having a really hard time grasping how to effectively calculate "nested" percentages and the actual amount I save on each iteration Example: I purchase a gift card (Gift Card A) that has a \$200.00 value for a cost of $194.00 (3%…
ogmios
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Reverse percentage reduction formula

Consider i need to reduce a value by percentage 100 - 10% = x 100 - (100 * 10 / 100) = 90 So we know x is 90 Now how do i reverse it? consider this question: x - 10% = 90 How i can find x? What will be the formula?
GusDeCooL
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Buses - percents

We say that a bus is overcrowded if at some moment there is at least 50 passengers in it. Two inspectors are monitoring the number of passengers in 10 buses. One of them computed what is the percentage of the overcrowded buses, the second one - what…
mrnobody
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If I know values for 0% and 100%, how can I calculate the value at 90%?

If I have 2 values, one representing 0% of a range (lets say 1.0), and another value representing 100% (lets say 20.0), how would I work out what value 90% would be? A formula would be handy if poss. Thanks.
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How many members are there in the swimming club given the following conditions?

MyApproach $3/10$ of the members have passed the test. $\implies 7/10$ of the members have not passed the test. Out of $7/10$ of the members, $12$ have taken preparatory course and $30$ have not taken preparatory course. $\implies 7/10\cdot…
justin takro
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What is the total food grain production in 2002 given the following conditions?

The production of rice in the year $2001$ was $1000$ tonnes which was $25$% of the total food grains production in that year.In the next year ,if the production of rice is decreased by $4$%. and the production of rice as the percentage of total food…
Jack
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What percentage of population in 2001 were males given the following conditions?

In a town the population of males decreased by $25$% from 2001 to 2002.The population of females increased by $20$% in this period.If females formed $44$ . $4$/$9$ % of the population in 2002,what percentage of the population in 2001 were…
Jack
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