62.5 is what percent of 692 - 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 692 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 692, so we can write it down as 100%=692.
4. We know, that x% equals 62.5 of the output value, so we can write it down as x%=62.5.
5. Now we have two simple equations:
1) 100%=692
2) x%=62.5
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%=692/62.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.5 is what percent of 692

100%/x%=692/62.5
(100/x)*x=(692/62.5)*x       - we multiply both sides of the equation by x
100=11.072*x       - we divide both sides of the equation by (11.072) to get x
100/11.072=x
9.0317919075145=x
x=9.0317919075145

now we have:
62.5 is 9.0317919075145% of 692