107.9 is what percent of 146.4 - 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 146.4 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 146.4, so we can write it down as 100%=146.4.
4. We know, that x% equals 107.9 of the output value, so we can write it down as x%=107.9.
5. Now we have two simple equations:
1) 100%=146.4
2) x%=107.9
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%=146.4/107.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.9 is what percent of 146.4

100%/x%=146.4/107.9
(100/x)*x=(146.4/107.9)*x       - we multiply both sides of the equation by x
100=1.356811862836*x       - we divide both sides of the equation by (1.356811862836) to get x
100/1.356811862836=x
73.70218579235=x
x=73.70218579235

now we have:
107.9 is 73.70218579235% of 146.4