63 is what percent of 92.5 - 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 92.5 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 92.5, so we can write it down as 100%=92.5.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=92.5
2) x%=63
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%=92.5/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 92.5

100%/x%=92.5/63
(100/x)*x=(92.5/63)*x       - we multiply both sides of the equation by x
100=1.468253968254*x       - we divide both sides of the equation by (1.468253968254) to get x
100/1.468253968254=x
68.108108108108=x
x=68.108108108108

now we have:
63 is 68.108108108108% of 92.5