564.79 is what percent of 644.89 - 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 644.89 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 644.89, so we can write it down as 100%=644.89.
4. We know, that x% equals 564.79 of the output value, so we can write it down as x%=564.79.
5. Now we have two simple equations:
1) 100%=644.89
2) x%=564.79
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%=644.89/564.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 564.79 is what percent of 644.89

100%/x%=644.89/564.79
(100/x)*x=(644.89/564.79)*x       - we multiply both sides of the equation by x
100=1.1418226243382*x       - we divide both sides of the equation by (1.1418226243382) to get x
100/1.1418226243382=x
87.579277086015=x
x=87.579277086015

now we have:
564.79 is 87.579277086015% of 644.89