55.55 is what percent of 718.17 - 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 718.17 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 718.17, so we can write it down as 100%=718.17.
4. We know, that x% equals 55.55 of the output value, so we can write it down as x%=55.55.
5. Now we have two simple equations:
1) 100%=718.17
2) x%=55.55
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%=718.17/55.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.55 is what percent of 718.17

100%/x%=718.17/55.55
(100/x)*x=(718.17/55.55)*x       - we multiply both sides of the equation by x
100=12.928352835284*x       - we divide both sides of the equation by (12.928352835284) to get x
100/12.928352835284=x
7.7349374103624=x
x=7.7349374103624

now we have:
55.55 is 7.7349374103624% of 718.17