107.8 is what percent of 112.7 - 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 112.7 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 112.7, so we can write it down as 100%=112.7.
4. We know, that x% equals 107.8 of the output value, so we can write it down as x%=107.8.
5. Now we have two simple equations:
1) 100%=112.7
2) x%=107.8
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%=112.7/107.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.8 is what percent of 112.7

100%/x%=112.7/107.8
(100/x)*x=(112.7/107.8)*x       - we multiply both sides of the equation by x
100=1.0454545454545*x       - we divide both sides of the equation by (1.0454545454545) to get x
100/1.0454545454545=x
95.652173913043=x
x=95.652173913043

now we have:
107.8 is 95.652173913043% of 112.7