652.65 is what percent of 137.4 - 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 137.4 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 137.4, so we can write it down as 100%=137.4.
4. We know, that x% equals 652.65 of the output value, so we can write it down as x%=652.65.
5. Now we have two simple equations:
1) 100%=137.4
2) x%=652.65
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%=137.4/652.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 652.65 is what percent of 137.4

100%/x%=137.4/652.65
(100/x)*x=(137.4/652.65)*x       - we multiply both sides of the equation by x
100=0.21052631578947*x       - we divide both sides of the equation by (0.21052631578947) to get x
100/0.21052631578947=x
475=x
x=475

now we have:
652.65 is 475% of 137.4