456.5 is what percent of 570 - 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 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, so we can write it down as 100%=570.
4. We know, that x% equals 456.5 of the output value, so we can write it down as x%=456.5.
5. Now we have two simple equations:
1) 100%=570
2) x%=456.5
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%=570/456.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 456.5 is what percent of 570

100%/x%=570/456.5
(100/x)*x=(570/456.5)*x       - we multiply both sides of the equation by x
100=1.2486308871851*x       - we divide both sides of the equation by (1.2486308871851) to get x
100/1.2486308871851=x
80.087719298246=x
x=80.087719298246

now we have:
456.5 is 80.087719298246% of 570