45.66 is what percent of 564.2 - 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 564.2 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 564.2, so we can write it down as 100%=564.2.
4. We know, that x% equals 45.66 of the output value, so we can write it down as x%=45.66.
5. Now we have two simple equations:
1) 100%=564.2
2) x%=45.66
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%=564.2/45.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.66 is what percent of 564.2

100%/x%=564.2/45.66
(100/x)*x=(564.2/45.66)*x       - we multiply both sides of the equation by x
100=12.356548401226*x       - we divide both sides of the equation by (12.356548401226) to get x
100/12.356548401226=x
8.0928748670684=x
x=8.0928748670684

now we have:
45.66 is 8.0928748670684% of 564.2