472.5 is what percent of 628 - 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 628 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 628, so we can write it down as 100%=628.
4. We know, that x% equals 472.5 of the output value, so we can write it down as x%=472.5.
5. Now we have two simple equations:
1) 100%=628
2) x%=472.5
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%=628/472.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 472.5 is what percent of 628

100%/x%=628/472.5
(100/x)*x=(628/472.5)*x       - we multiply both sides of the equation by x
100=1.3291005291005*x       - we divide both sides of the equation by (1.3291005291005) to get x
100/1.3291005291005=x
75.238853503185=x
x=75.238853503185

now we have:
472.5 is 75.238853503185% of 628