67.79 is what percent of 564.96 - 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 564.96 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 564.96, so we can write it down as 100%=564.96.
4. We know, that x% equals 67.79 of the output value, so we can write it down as x%=67.79.
5. Now we have two simple equations:
1) 100%=564.96
2) x%=67.79
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%=564.96/67.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.79 is what percent of 564.96

100%/x%=564.96/67.79
(100/x)*x=(564.96/67.79)*x       - we multiply both sides of the equation by x
100=8.3339725623248*x       - we divide both sides of the equation by (8.3339725623248) to get x
100/8.3339725623248=x
11.999079580855=x
x=11.999079580855

now we have:
67.79 is 11.999079580855% of 564.96