507.15 is what percent of 632.35 - 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 632.35 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 632.35, so we can write it down as 100%=632.35.
4. We know, that x% equals 507.15 of the output value, so we can write it down as x%=507.15.
5. Now we have two simple equations:
1) 100%=632.35
2) x%=507.15
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%=632.35/507.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 507.15 is what percent of 632.35

100%/x%=632.35/507.15
(100/x)*x=(632.35/507.15)*x       - we multiply both sides of the equation by x
100=1.2468697623977*x       - we divide both sides of the equation by (1.2468697623977) to get x
100/1.2468697623977=x
80.200838143433=x
x=80.200838143433

now we have:
507.15 is 80.200838143433% of 632.35