338.25 is what percent of 563.75 - 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 563.75 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 563.75, so we can write it down as 100%=563.75.
4. We know, that x% equals 338.25 of the output value, so we can write it down as x%=338.25.
5. Now we have two simple equations:
1) 100%=563.75
2) x%=338.25
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%=563.75/338.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.25 is what percent of 563.75

100%/x%=563.75/338.25
(100/x)*x=(563.75/338.25)*x       - we multiply both sides of the equation by x
100=1.6666666666667*x       - we divide both sides of the equation by (1.6666666666667) to get x
100/1.6666666666667=x
60=x
x=60

now we have:
338.25 is 60% of 563.75