7.92 is what percent of 37.316 - 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 37.316 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 37.316, so we can write it down as 100%=37.316.
4. We know, that x% equals 7.92 of the output value, so we can write it down as x%=7.92.
5. Now we have two simple equations:
1) 100%=37.316
2) x%=7.92
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%=37.316/7.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.92 is what percent of 37.316

100%/x%=37.316/7.92
(100/x)*x=(37.316/7.92)*x       - we multiply both sides of the equation by x
100=4.7116161616162*x       - we divide both sides of the equation by (4.7116161616162) to get x
100/4.7116161616162=x
21.224139779183=x
x=21.224139779183

now we have:
7.92 is 21.224139779183% of 37.316