37.65 is what percent of 173.21 - 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 173.21 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 173.21, so we can write it down as 100%=173.21.
4. We know, that x% equals 37.65 of the output value, so we can write it down as x%=37.65.
5. Now we have two simple equations:
1) 100%=173.21
2) x%=37.65
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%=173.21/37.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.65 is what percent of 173.21

100%/x%=173.21/37.65
(100/x)*x=(173.21/37.65)*x       - we multiply both sides of the equation by x
100=4.6005312084993*x       - we divide both sides of the equation by (4.6005312084993) to get x
100/4.6005312084993=x
21.736620287512=x
x=21.736620287512

now we have:
37.65 is 21.736620287512% of 173.21