87.72 is what percent of 253.54 - 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 253.54 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 253.54, so we can write it down as 100%=253.54.
4. We know, that x% equals 87.72 of the output value, so we can write it down as x%=87.72.
5. Now we have two simple equations:
1) 100%=253.54
2) x%=87.72
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%=253.54/87.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.72 is what percent of 253.54

100%/x%=253.54/87.72
(100/x)*x=(253.54/87.72)*x       - we multiply both sides of the equation by x
100=2.890332877337*x       - we divide both sides of the equation by (2.890332877337) to get x
100/2.890332877337=x
34.598091031001=x
x=34.598091031001

now we have:
87.72 is 34.598091031001% of 253.54