171.25 is what percent of 580 - 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 580 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 580, so we can write it down as 100%=580.
4. We know, that x% equals 171.25 of the output value, so we can write it down as x%=171.25.
5. Now we have two simple equations:
1) 100%=580
2) x%=171.25
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%=580/171.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 171.25 is what percent of 580

100%/x%=580/171.25
(100/x)*x=(580/171.25)*x       - we multiply both sides of the equation by x
100=3.3868613138686*x       - we divide both sides of the equation by (3.3868613138686) to get x
100/3.3868613138686=x
29.525862068966=x
x=29.525862068966

now we have:
171.25 is 29.525862068966% of 580