108.21 is what percent of 576 - 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 576 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 576, so we can write it down as 100%=576.
4. We know, that x% equals 108.21 of the output value, so we can write it down as x%=108.21.
5. Now we have two simple equations:
1) 100%=576
2) x%=108.21
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%=576/108.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.21 is what percent of 576

100%/x%=576/108.21
(100/x)*x=(576/108.21)*x       - we multiply both sides of the equation by x
100=5.3229830884391*x       - we divide both sides of the equation by (5.3229830884391) to get x
100/5.3229830884391=x
18.786458333333=x
x=18.786458333333

now we have:
108.21 is 18.786458333333% of 576