173.95 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 173.95 of the output value, so we can write it down as x%=173.95.
5. Now we have two simple equations:
1) 100%=500
2) x%=173.95
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%=500/173.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 173.95 is what percent of 500

100%/x%=500/173.95
(100/x)*x=(500/173.95)*x       - we multiply both sides of the equation by x
100=2.8743891922966*x       - we divide both sides of the equation by (2.8743891922966) to get x
100/2.8743891922966=x
34.79=x
x=34.79

now we have:
173.95 is 34.79% of 500