369.96 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 369.96 of the output value, so we can write it down as x%=369.96.
5. Now we have two simple equations:
1) 100%=570
2) x%=369.96
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%=570/369.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 369.96 is what percent of 570

100%/x%=570/369.96
(100/x)*x=(570/369.96)*x       - we multiply both sides of the equation by x
100=1.5407071034706*x       - we divide both sides of the equation by (1.5407071034706) to get x
100/1.5407071034706=x
64.905263157895=x
x=64.905263157895

now we have:
369.96 is 64.905263157895% of 570