7.5 is what percent of 20 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 20 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 20, so we can write it down as 100%=20.
4. We know, that x% equals 7.5 of the output value, so we can write it down as x%=7.5.
5. Now we have two simple equations:
1) 100%=20
2) x%=7.5
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%=20/7.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.5 is what percent of 20

100%/x%=20/7.5
(100/x)*x=(20/7.5)*x - we multiply both sides of the equation by x
100=2.66666666667*x - we divide both sides of the equation by (2.66666666667) to get x
100/2.66666666667=x
37.5=x
x=37.5

now we have:
7.5 is 37.5% of 20

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