37.29 is what percent of 1077.22 - 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 1077.22 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 1077.22, so we can write it down as 100%=1077.22.
4. We know, that x% equals 37.29 of the output value, so we can write it down as x%=37.29.
5. Now we have two simple equations:
1) 100%=1077.22
2) x%=37.29
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%=1077.22/37.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.29 is what percent of 1077.22

100%/x%=1077.22/37.29
(100/x)*x=(1077.22/37.29)*x       - we multiply both sides of the equation by x
100=28.88763743631*x       - we divide both sides of the equation by (28.88763743631) to get x
100/28.88763743631=x
3.4616884201927=x
x=3.4616884201927

now we have:
37.29 is 3.4616884201927% of 1077.22