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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How would one find the number that is a given percentage between two numbers?

Assume I have two numbers, say, 23 and 1150. Also assume I have a given percentage, say, 32.6%. What formula would I use to find the number that is 32.6% between 23 and 1150?
CGriffin
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Does the order of sequential percentage changes matter?

Say I have a price that undergoes some fluctuations, measure in percentage. Example: Item A costs \$100, and the price is increased by $4.5\%$ four times, and then decreased by $4.5\%$ four times, in that order. The way I see it, this just means…
Alec
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If something increased from 0 to 1 how many percents did it increase?

Let's say last month company's profit was 0 dollar this month it's 1 dollar.What percent did the profit increase?
Murad
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How to get original number from percentages

When I calculated $15\%$ of $150$ it's $22,5$. And than I do $150 - 22,5 = 127,5$. Now I have number $127,5$ and I have $15\%$. How can I get from these two numbers ($127,5$ and $15\%$) back original number $150$? Thank you a lot.
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Calculate percentage of goal achieved

Hello I am having trouble in calculating the percentage of a goal achieved. I know if the goal is to increase something (like sales) to 100, then the percentage of the goal achieved would simple be: actual/goal But what is the goal is to reduce…
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How to calculate pass % in both subjects given student failing %

Problem: In an Examination,35% fail in maths and 25% fail in English.If 10% fail in both the subjects.Then how much % pass in both? Solution: I applied the formula: P(M)=Percentage of people fail in maths=35%. P(E)=Percentage of people fail in…
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Tax: taking % off number

I've come across a problem that I'm unsure how to solve. I'm making a software program that needs to add/remove tax from a number. It gets a little tricky though, as the tax rate is changeable. I need a formula that can remove a % off a number. But…
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Different methods to find percentage of value, which is correct?

I know this may be a bit of a 'go back to school' question but today I had an issue with one of my clients regarding a 20% deposit. The total that was due for the services was £1350. I normally take a 20% deposit for all services. I usually work out…
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How do I determine what price to lower my widgets to so that it is not over the average of the competitor?

Here is a real world business equation that am having problems solving around a product pricing structure. Below is list of the widget prices. I need to reduce that pricing by the % over average pricing of our competitors. Appreciate any help. How…
FAN
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Rule to Maximize Cash Back Returns

This is all curiosity. It's just something that's been stuck in my head today, and I thought I'd throw it out there. With my Amazon rewards card, I get 3% cash back on purchases from Amazon, 1% on everywhere else (ok, 2% some places, but irrelevant…
tmoore82
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Percentage change over multiple years

I have data for the number of mice in an area of 13 years. $\begin{bmatrix} \text{Year} & \text{#mice} \\ 1995 & 30 \\ 1996 & 113 \\ 1997 & 106 \\ 1998 & 50 \\ 1999 & 19 \\ 2000 & 20 \\ 2001 & 20 \\ 2002 & 63 \\ 2003 & 13 \\ 2004 & 69 \\ 2005 & 100…
HenryLu
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how do you add multiple variables that represent a percentage of a total

I believe the answer is fairly straightforward but fear it can not be that simple. The problem i want to solve involves multiple variables, lets call them A,B,X,Y. Each of these variables represents a value between 1 and 100. They each have a…
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How to work out this discount?

Accommodation at a hotel is $1170. The owner agrees to give a 12% discount to someone. How do you get the answer? Attempt I did: 1170/1.12 I have been told that this is wrong. In which situations would use use this method of dividing over the…
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Percentage Calculation Problem

I have some financial reports, I can see user deposits of: £12.90 But actually, the real deposit is £15, but because of fees which I've worked out is 14%, it brings it down to £12.90. On my report I can see numerous deposits such as £12.90 £8.60…
BCLtd
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Calculate commission percentage by amount

In our system, we got a booking of the price 1100, the default commission percentage is 15% hence the raw price is 1100 / 1.15 = 956.52173913 Which means that the current commission amount is 1100 - 956.52173913 = 143.47826087 I need to change the…