307.52 is what percent of 507.52 - 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 507.52 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 507.52, so we can write it down as 100%=507.52.
4. We know, that x% equals 307.52 of the output value, so we can write it down as x%=307.52.
5. Now we have two simple equations:
1) 100%=507.52
2) x%=307.52
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%=507.52/307.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 307.52 is what percent of 507.52

100%/x%=507.52/307.52
(100/x)*x=(507.52/307.52)*x       - we multiply both sides of the equation by x
100=1.6503642039542*x       - we divide both sides of the equation by (1.6503642039542) to get x
100/1.6503642039542=x
60.592686002522=x
x=60.592686002522

now we have:
307.52 is 60.592686002522% of 507.52