37.17 is what percent of 44.17 - 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 44.17 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 44.17, so we can write it down as 100%=44.17.
4. We know, that x% equals 37.17 of the output value, so we can write it down as x%=37.17.
5. Now we have two simple equations:
1) 100%=44.17
2) x%=37.17
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%=44.17/37.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.17 is what percent of 44.17

100%/x%=44.17/37.17
(100/x)*x=(44.17/37.17)*x       - we multiply both sides of the equation by x
100=1.1883239171375*x       - we divide both sides of the equation by (1.1883239171375) to get x
100/1.1883239171375=x
84.152139461173=x
x=84.152139461173

now we have:
37.17 is 84.152139461173% of 44.17