564.5 is what percent of 1238.05 - 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 1238.05 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 1238.05, so we can write it down as 100%=1238.05.
4. We know, that x% equals 564.5 of the output value, so we can write it down as x%=564.5.
5. Now we have two simple equations:
1) 100%=1238.05
2) x%=564.5
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%=1238.05/564.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 564.5 is what percent of 1238.05

100%/x%=1238.05/564.5
(100/x)*x=(1238.05/564.5)*x       - we multiply both sides of the equation by x
100=2.1931798051373*x       - we divide both sides of the equation by (2.1931798051373) to get x
100/2.1931798051373=x
45.595896773151=x
x=45.595896773151

now we have:
564.5 is 45.595896773151% of 1238.05