74.39 is what percent of 106.15 - 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 106.15 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 106.15, so we can write it down as 100%=106.15.
4. We know, that x% equals 74.39 of the output value, so we can write it down as x%=74.39.
5. Now we have two simple equations:
1) 100%=106.15
2) x%=74.39
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%=106.15/74.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.39 is what percent of 106.15

100%/x%=106.15/74.39
(100/x)*x=(106.15/74.39)*x       - we multiply both sides of the equation by x
100=1.4269391047184*x       - we divide both sides of the equation by (1.4269391047184) to get x
100/1.4269391047184=x
70.080075365049=x
x=70.080075365049

now we have:
74.39 is 70.080075365049% of 106.15