511.61 is what percent of 564.79 - 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 564.79 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 564.79, so we can write it down as 100%=564.79.
4. We know, that x% equals 511.61 of the output value, so we can write it down as x%=511.61.
5. Now we have two simple equations:
1) 100%=564.79
2) x%=511.61
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%=564.79/511.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 511.61 is what percent of 564.79

100%/x%=564.79/511.61
(100/x)*x=(564.79/511.61)*x       - we multiply both sides of the equation by x
100=1.1039463653955*x       - we divide both sides of the equation by (1.1039463653955) to get x
100/1.1039463653955=x
90.584110908479=x
x=90.584110908479

now we have:
511.61 is 90.584110908479% of 564.79