55 is what percent of 591 - 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 591 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 591, so we can write it down as 100%=591.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=591
2) x%=55
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%=591/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 591

100%/x%=591/55
(100/x)*x=(591/55)*x       - we multiply both sides of the equation by x
100=10.745454545455*x       - we divide both sides of the equation by (10.745454545455) to get x
100/10.745454545455=x
9.3062605752961=x
x=9.3062605752961

now we have:
55 is 9.3062605752961% of 591