34.75 is what percent of 87.25 - step by step solution

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

1. We assume, that the number 87.25 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 87.25, so we can write it down as 100%=87.25.
4. We know, that x% equals 34.75 of the output value, so we can write it down as x%=34.75.
5. Now we have two simple equations:
1) 100%=87.25
2) x%=34.75
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%=87.25/34.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.75 is what percent of 87.25

100%/x%=87.25/34.75
(100/x)*x=(87.25/34.75)*x       - we multiply both sides of the equation by x
100=2.5107913669065*x       - we divide both sides of the equation by (2.5107913669065) to get x
100/2.5107913669065=x
39.828080229226=x
x=39.828080229226

now we have:
34.75 is 39.828080229226% of 87.25