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81 is 37.5% of what number?

1 Answer

3 votes

Hi,

81 is 37.5% of 216.

"1. We assume, that the number 37.5 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 37.5, so we can write it down as 100%=37.5.

4. We know, that x% equals 81 of the output value, so we can write it down as x%=81.

5. Now we have two simple equations:

1) 100%=37.5

2) x%=81

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=37.5/81

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81 is what percent of 37.5

100%/x%=37.5/81

(100/x)*x=(37.5/81)*x - we multiply both sides of the equation by x

100=0.46296296296296*x - we divide both sides of the equation by (0.46296296296296) to get x

100/0.46296296296296=x

216=x

x=216 "

Have a great day!

User Vicbyte
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