375.5 is what percent of 564.1 - 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 564.1 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 564.1, so we can write it down as 100%=564.1.
4. We know, that x% equals 375.5 of the output value, so we can write it down as x%=375.5.
5. Now we have two simple equations:
1) 100%=564.1
2) x%=375.5
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%=564.1/375.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 375.5 is what percent of 564.1

100%/x%=564.1/375.5
(100/x)*x=(564.1/375.5)*x       - we multiply both sides of the equation by x
100=1.5022636484687*x       - we divide both sides of the equation by (1.5022636484687) to get x
100/1.5022636484687=x
66.566211664598=x
x=66.566211664598

now we have:
375.5 is 66.566211664598% of 564.1