375.68 is what percent of 655 - 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 655 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 655, so we can write it down as 100%=655.
4. We know, that x% equals 375.68 of the output value, so we can write it down as x%=375.68.
5. Now we have two simple equations:
1) 100%=655
2) x%=375.68
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%=655/375.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 375.68 is what percent of 655

100%/x%=655/375.68
(100/x)*x=(655/375.68)*x       - we multiply both sides of the equation by x
100=1.7435051107325*x       - we divide both sides of the equation by (1.7435051107325) to get x
100/1.7435051107325=x
57.35572519084=x
x=57.35572519084

now we have:
375.68 is 57.35572519084% of 655