39.25 is what percent of 128 - 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 128 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 128, so we can write it down as 100%=128.
4. We know, that x% equals 39.25 of the output value, so we can write it down as x%=39.25.
5. Now we have two simple equations:
1) 100%=128
2) x%=39.25
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%=128/39.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.25 is what percent of 128

100%/x%=128/39.25
(100/x)*x=(128/39.25)*x - we multiply both sides of the equation by x
100=3.3*x - we divide both sides of the equation by (3.3) to get x
100/3.3=x
30.6640625=x
x=30.6640625

now we have:
39.25 is 30.6640625% of 128

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