106.4 is what percent of 142.54 - 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 142.54 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 142.54, so we can write it down as 100%=142.54.
4. We know, that x% equals 106.4 of the output value, so we can write it down as x%=106.4.
5. Now we have two simple equations:
1) 100%=142.54
2) x%=106.4
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%=142.54/106.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.4 is what percent of 142.54

100%/x%=142.54/106.4
(100/x)*x=(142.54/106.4)*x       - we multiply both sides of the equation by x
100=1.3396616541353*x       - we divide both sides of the equation by (1.3396616541353) to get x
100/1.3396616541353=x
74.645713483934=x
x=74.645713483934

now we have:
106.4 is 74.645713483934% of 142.54