119.31 is what percent of 146.7 - 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 146.7 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 146.7, so we can write it down as 100%=146.7.
4. We know, that x% equals 119.31 of the output value, so we can write it down as x%=119.31.
5. Now we have two simple equations:
1) 100%=146.7
2) x%=119.31
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%=146.7/119.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.31 is what percent of 146.7

100%/x%=146.7/119.31
(100/x)*x=(146.7/119.31)*x       - we multiply both sides of the equation by x
100=1.229570027659*x       - we divide both sides of the equation by (1.229570027659) to get x
100/1.229570027659=x
81.329243353783=x
x=81.329243353783

now we have:
119.31 is 81.329243353783% of 146.7