117.3 is what percent of 158.7 - 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 158.7 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 158.7, so we can write it down as 100%=158.7.
4. We know, that x% equals 117.3 of the output value, so we can write it down as x%=117.3.
5. Now we have two simple equations:
1) 100%=158.7
2) x%=117.3
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%=158.7/117.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.3 is what percent of 158.7

100%/x%=158.7/117.3
(100/x)*x=(158.7/117.3)*x       - we multiply both sides of the equation by x
100=1.3529411764706*x       - we divide both sides of the equation by (1.3529411764706) to get x
100/1.3529411764706=x
73.913043478261=x
x=73.913043478261

now we have:
117.3 is 73.913043478261% of 158.7