152.25 is what percent of 1255.83 - 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 1255.83 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 1255.83, so we can write it down as 100%=1255.83.
4. We know, that x% equals 152.25 of the output value, so we can write it down as x%=152.25.
5. Now we have two simple equations:
1) 100%=1255.83
2) x%=152.25
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%=1255.83/152.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.25 is what percent of 1255.83

100%/x%=1255.83/152.25
(100/x)*x=(1255.83/152.25)*x       - we multiply both sides of the equation by x
100=8.2484729064039*x       - we divide both sides of the equation by (8.2484729064039) to get x
100/8.2484729064039=x
12.123456200282=x
x=12.123456200282

now we have:
152.25 is 12.123456200282% of 1255.83