152.52 is what percent of 1282.26 - 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 1282.26 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 1282.26, so we can write it down as 100%=1282.26.
4. We know, that x% equals 152.52 of the output value, so we can write it down as x%=152.52.
5. Now we have two simple equations:
1) 100%=1282.26
2) x%=152.52
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%=1282.26/152.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.52 is what percent of 1282.26

100%/x%=1282.26/152.52
(100/x)*x=(1282.26/152.52)*x       - we multiply both sides of the equation by x
100=8.4071597167585*x       - we divide both sides of the equation by (8.4071597167585) to get x
100/8.4071597167585=x
11.894623555285=x
x=11.894623555285

now we have:
152.52 is 11.894623555285% of 1282.26