118.7 is what percent of 150.7 - 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 150.7 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 150.7, so we can write it down as 100%=150.7.
4. We know, that x% equals 118.7 of the output value, so we can write it down as x%=118.7.
5. Now we have two simple equations:
1) 100%=150.7
2) x%=118.7
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%=150.7/118.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.7 is what percent of 150.7

100%/x%=150.7/118.7
(100/x)*x=(150.7/118.7)*x       - we multiply both sides of the equation by x
100=1.2695871946083*x       - we divide both sides of the equation by (1.2695871946083) to get x
100/1.2695871946083=x
78.765759787658=x
x=78.765759787658

now we have:
118.7 is 78.765759787658% of 150.7