576.21 is what percent of 11 - 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 11 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 11, so we can write it down as 100%=11.
4. We know, that x% equals 576.21 of the output value, so we can write it down as x%=576.21.
5. Now we have two simple equations:
1) 100%=11
2) x%=576.21
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%=11/576.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 576.21 is what percent of 11

100%/x%=11/576.21
(100/x)*x=(11/576.21)*x       - we multiply both sides of the equation by x
100=0.019090262230784*x       - we divide both sides of the equation by (0.019090262230784) to get x
100/0.019090262230784=x
5238.2727272727=x
x=5238.2727272727

now we have:
576.21 is 5238.2727272727% of 11