17.22 is what percent of 570.48 - 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 570.48 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 570.48, so we can write it down as 100%=570.48.
4. We know, that x% equals 17.22 of the output value, so we can write it down as x%=17.22.
5. Now we have two simple equations:
1) 100%=570.48
2) x%=17.22
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%=570.48/17.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.22 is what percent of 570.48

100%/x%=570.48/17.22
(100/x)*x=(570.48/17.22)*x       - we multiply both sides of the equation by x
100=33.128919860627*x       - we divide both sides of the equation by (33.128919860627) to get x
100/33.128919860627=x
3.0185107278082=x
x=3.0185107278082

now we have:
17.22 is 3.0185107278082% of 570.48