562.4 is what percent of 6165.82 - 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 6165.82 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 6165.82, so we can write it down as 100%=6165.82.
4. We know, that x% equals 562.4 of the output value, so we can write it down as x%=562.4.
5. Now we have two simple equations:
1) 100%=6165.82
2) x%=562.4
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%=6165.82/562.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 562.4 is what percent of 6165.82

100%/x%=6165.82/562.4
(100/x)*x=(6165.82/562.4)*x       - we multiply both sides of the equation by x
100=10.963406827881*x       - we divide both sides of the equation by (10.963406827881) to get x
100/10.963406827881=x
9.121252323292=x
x=9.121252323292

now we have:
562.4 is 9.121252323292% of 6165.82