109.95 is what percent of 112.52 - 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 112.52 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 112.52, so we can write it down as 100%=112.52.
4. We know, that x% equals 109.95 of the output value, so we can write it down as x%=109.95.
5. Now we have two simple equations:
1) 100%=112.52
2) x%=109.95
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%=112.52/109.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.95 is what percent of 112.52

100%/x%=112.52/109.95
(100/x)*x=(112.52/109.95)*x       - we multiply both sides of the equation by x
100=1.0233742610277*x       - we divide both sides of the equation by (1.0233742610277) to get x
100/1.0233742610277=x
97.715961606825=x
x=97.715961606825

now we have:
109.95 is 97.715961606825% of 112.52