625.17 is what percent of 1025.05 - 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 1025.05 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 1025.05, so we can write it down as 100%=1025.05.
4. We know, that x% equals 625.17 of the output value, so we can write it down as x%=625.17.
5. Now we have two simple equations:
1) 100%=1025.05
2) x%=625.17
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%=1025.05/625.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 625.17 is what percent of 1025.05

100%/x%=1025.05/625.17
(100/x)*x=(1025.05/625.17)*x       - we multiply both sides of the equation by x
100=1.6396340195467*x       - we divide both sides of the equation by (1.6396340195467) to get x
100/1.6396340195467=x
60.989220038047=x
x=60.989220038047

now we have:
625.17 is 60.989220038047% of 1025.05