45.28 is what percent of 570.28 - 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 570.28 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 570.28, so we can write it down as 100%=570.28.
4. We know, that x% equals 45.28 of the output value, so we can write it down as x%=45.28.
5. Now we have two simple equations:
1) 100%=570.28
2) x%=45.28
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%=570.28/45.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.28 is what percent of 570.28

100%/x%=570.28/45.28
(100/x)*x=(570.28/45.28)*x       - we multiply both sides of the equation by x
100=12.594522968198*x       - we divide both sides of the equation by (12.594522968198) to get x
100/12.594522968198=x
7.9399593182296=x
x=7.9399593182296

now we have:
45.28 is 7.9399593182296% of 570.28