90.47 is what percent of 122.5 - 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 122.5 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 122.5, so we can write it down as 100%=122.5.
4. We know, that x% equals 90.47 of the output value, so we can write it down as x%=90.47.
5. Now we have two simple equations:
1) 100%=122.5
2) x%=90.47
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%=122.5/90.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.47 is what percent of 122.5

100%/x%=122.5/90.47
(100/x)*x=(122.5/90.47)*x       - we multiply both sides of the equation by x
100=1.3540400132641*x       - we divide both sides of the equation by (1.3540400132641) to get x
100/1.3540400132641=x
73.85306122449=x
x=73.85306122449

now we have:
90.47 is 73.85306122449% of 122.5