557.77 is what percent of 5133.33 - 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 5133.33 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 5133.33, so we can write it down as 100%=5133.33.
4. We know, that x% equals 557.77 of the output value, so we can write it down as x%=557.77.
5. Now we have two simple equations:
1) 100%=5133.33
2) x%=557.77
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%=5133.33/557.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 557.77 is what percent of 5133.33

100%/x%=5133.33/557.77
(100/x)*x=(5133.33/557.77)*x       - we multiply both sides of the equation by x
100=9.2033096079029*x       - we divide both sides of the equation by (9.2033096079029) to get x
100/9.2033096079029=x
10.86565640627=x
x=10.86565640627

now we have:
557.77 is 10.86565640627% of 5133.33