117.8 is what percent of 123.75 - 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 123.75 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 123.75, so we can write it down as 100%=123.75.
4. We know, that x% equals 117.8 of the output value, so we can write it down as x%=117.8.
5. Now we have two simple equations:
1) 100%=123.75
2) x%=117.8
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%=123.75/117.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.8 is what percent of 123.75

100%/x%=123.75/117.8
(100/x)*x=(123.75/117.8)*x       - we multiply both sides of the equation by x
100=1.0505093378608*x       - we divide both sides of the equation by (1.0505093378608) to get x
100/1.0505093378608=x
95.191919191919=x
x=95.191919191919

now we have:
117.8 is 95.191919191919% of 123.75