564.84 is what percent of 6398 - 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 6398 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 6398, so we can write it down as 100%=6398.
4. We know, that x% equals 564.84 of the output value, so we can write it down as x%=564.84.
5. Now we have two simple equations:
1) 100%=6398
2) x%=564.84
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%=6398/564.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 564.84 is what percent of 6398

100%/x%=6398/564.84
(100/x)*x=(6398/564.84)*x       - we multiply both sides of the equation by x
100=11.327101480065*x       - we divide both sides of the equation by (11.327101480065) to get x
100/11.327101480065=x
8.8283838699594=x
x=8.8283838699594

now we have:
564.84 is 8.8283838699594% of 6398