87.31 is what percent of 152.69 - 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 152.69 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 152.69, so we can write it down as 100%=152.69.
4. We know, that x% equals 87.31 of the output value, so we can write it down as x%=87.31.
5. Now we have two simple equations:
1) 100%=152.69
2) x%=87.31
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%=152.69/87.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.31 is what percent of 152.69

100%/x%=152.69/87.31
(100/x)*x=(152.69/87.31)*x       - we multiply both sides of the equation by x
100=1.7488260222197*x       - we divide both sides of the equation by (1.7488260222197) to get x
100/1.7488260222197=x
57.181216844587=x
x=57.181216844587

now we have:
87.31 is 57.181216844587% of 152.69