17.37 is what percent of 465.35 - 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 465.35 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 465.35, so we can write it down as 100%=465.35.
4. We know, that x% equals 17.37 of the output value, so we can write it down as x%=17.37.
5. Now we have two simple equations:
1) 100%=465.35
2) x%=17.37
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%=465.35/17.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.37 is what percent of 465.35

100%/x%=465.35/17.37
(100/x)*x=(465.35/17.37)*x       - we multiply both sides of the equation by x
100=26.790443293034*x       - we divide both sides of the equation by (26.790443293034) to get x
100/26.790443293034=x
3.7326743311486=x
x=3.7326743311486

now we have:
17.37 is 3.7326743311486% of 465.35