625.28 is what percent of 125 - 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 125 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 125, so we can write it down as 100%=125.
4. We know, that x% equals 625.28 of the output value, so we can write it down as x%=625.28.
5. Now we have two simple equations:
1) 100%=125
2) x%=625.28
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%=125/625.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 625.28 is what percent of 125

100%/x%=125/625.28
(100/x)*x=(125/625.28)*x       - we multiply both sides of the equation by x
100=0.19991044012282*x       - we divide both sides of the equation by (0.19991044012282) to get x
100/0.19991044012282=x
500.224=x
x=500.224

now we have:
625.28 is 500.224% of 125