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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Calculate distance (in percentage) from street given the current location of the house

I have 8 properties that run in a line on one side of the street (all houses have equal dimensions I.E. width * height * length ), there is a street that starts exactly from my first house and ends at the end of the last house . Given then above two…
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Percentages and New Values

I have two values that I have calculated the percent difference with. I used the absolute difference ober the average etc. How do I go about using that percentage as a reference to calculate a difference from a different value. Example below: I have…
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Percentage Change: Decomposition

I am not sure about how to decompose the percentage change in the following scenario. I have data for $2$ time periods, $1990$ and $2007$. Data captures number of employed people in each year. $1990 : 156,521$ people employed. Out of these $138,332$…
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Scaling percentages to calculate values on an even scale

Factory $A$ had $20$ defective items this year. Factory $B$ has $180$ defective items this year. However, Factory A only produced $6\%$ of the products Factory $B$ does. We need to find the number of defective items that Factory $A$ would produce…
Gia
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Cancelling Units Question

Question: Part time students take $60\%\ (6/10)$ of the course load of full time students, and there are $1000$ part time students. How many full time equivalent students are there? The answer is $(6/10)×1000=600$, but I cannot figure out what the…
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how to work out percentage of something which adds to 80%

I have a problem I can't workout. I have 3 work streams maintenance optimisation innovation I know I'm going to spend $20\%$ of my time on maintenance but don't have any specifics line items I know I will spend $4$ units of time work on optimisation…
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Calculate the price in order to achieve 50% net margin (after tax and cost)

Let's say my cost price for a part is $10, I need to charge 20% sales tax, and I want to sell it to make a 50% net margin, what would be the calculation to work out the price I'd need to charge a customer? I know I would need to sell for \$30…
BigBadMe
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Reverse Percentage Calculation of Two Different Taxes after Fixed Amount Off

I own a store and I'm trying to do tax calculations for accounting. I have two products. Product A has retail price of $18.31 including 9% tax. Product B has retail price of 99.68 including 12% tax. Discounts are being applied on item basis. When I…
Caner
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Percent Change Question

If 150 were increased by 60% and then decreased by y%, the result would be 192. What is the value of y? My solution is to use percent change. Here are my steps and yet my answer is incorrect. Can someone please advise why my answer is incorrect?…
Kay
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Individual percentage of a set of numbers

I have a set of four numbers. 7.5, 18.5, 424 and 0. Certain percentage is associated with each of it, viz 1.66%, 4.11%, 94.22% and 0.1% resp, which in total is 100%. I want to know how these percentages were calculated? Can a generic formula be…
Sara
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Calculate percentage based on specific 0% and 100% in any numeric range

I know there are solutions to this, but for some reason they don't seem to work correctly in my scenario. I need to weight an actual value against a nominal value and a certain upper and lower tolerance threshold. In order to work with it in a way…
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Difficult problem finding a total given only percentages.

Lets say a group of children are playing two different sports. 1/5 of them play baseball. 2/3 play football. 1/7 of them play both sports. 50 others do not play at all. How many children were there total?
BobaJFET
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Math for predicting fabric filter effectiveness.

The University of Chicago and Argonne National Labs have a run down of fabrics for filtration at <300nm and >300nm ACS that is part of their larger ACS-published study here. I have been wearing a seven layer satin mask (+ one 400-thread cotton outer…
paul_h
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Calculate the necessary growth percentage to reach a target for end of year.

Things I know: Need to make $\$165,000$ by the end of December to break even. Made $\$48,000$ so far this year (Jan-Apr). Made $\$12,500$ in April. How would I figure out what my consistent growth would need to be to hit my break even point? Doing…
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Effective discount rate

Okay so I had a doubt. The formula for successive % change is (a+b+{ab/100}). However, the formula for effective discount rate is (a+b-{ab/100}). (where a = first rate percent, b= second rate percent). Shouldn't the two formulaes be the same?…