118.65 is what percent of 112.72 - 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 112.72 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 112.72, so we can write it down as 100%=112.72.
4. We know, that x% equals 118.65 of the output value, so we can write it down as x%=118.65.
5. Now we have two simple equations:
1) 100%=112.72
2) x%=118.65
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%=112.72/118.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.65 is what percent of 112.72

100%/x%=112.72/118.65
(100/x)*x=(112.72/118.65)*x       - we multiply both sides of the equation by x
100=0.95002107037505*x       - we divide both sides of the equation by (0.95002107037505) to get x
100/0.95002107037505=x
105.26082327892=x
x=105.26082327892

now we have:
118.65 is 105.26082327892% of 112.72