97.47 is what percent of 85.5 - 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 85.5 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 85.5, so we can write it down as 100%=85.5.
4. We know, that x% equals 97.47 of the output value, so we can write it down as x%=97.47.
5. Now we have two simple equations:
1) 100%=85.5
2) x%=97.47
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%=85.5/97.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.47 is what percent of 85.5

100%/x%=85.5/97.47
(100/x)*x=(85.5/97.47)*x       - we multiply both sides of the equation by x
100=0.87719298245614*x       - we divide both sides of the equation by (0.87719298245614) to get x
100/0.87719298245614=x
114=x
x=114

now we have:
97.47 is 114% of 85.5