37.94 is what percent of 496.02 - 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 496.02 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 496.02, so we can write it down as 100%=496.02.
4. We know, that x% equals 37.94 of the output value, so we can write it down as x%=37.94.
5. Now we have two simple equations:
1) 100%=496.02
2) x%=37.94
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%=496.02/37.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.94 is what percent of 496.02

100%/x%=496.02/37.94
(100/x)*x=(496.02/37.94)*x       - we multiply both sides of the equation by x
100=13.073800738007*x       - we divide both sides of the equation by (13.073800738007) to get x
100/13.073800738007=x
7.6488851255998=x
x=7.6488851255998

now we have:
37.94 is 7.6488851255998% of 496.02