76.14 is what percent of 112.8 - 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 112.8 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 112.8, so we can write it down as 100%=112.8.
4. We know, that x% equals 76.14 of the output value, so we can write it down as x%=76.14.
5. Now we have two simple equations:
1) 100%=112.8
2) x%=76.14
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%=112.8/76.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.14 is what percent of 112.8

100%/x%=112.8/76.14
(100/x)*x=(112.8/76.14)*x       - we multiply both sides of the equation by x
100=1.4814814814815*x       - we divide both sides of the equation by (1.4814814814815) to get x
100/1.4814814814815=x
67.5=x
x=67.5

now we have:
76.14 is 67.5% of 112.8