55.55 is what percent of 473 - 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 473 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 473, so we can write it down as 100%=473.
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%=473
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%=473/55.55
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 473

100%/x%=473/55.55
(100/x)*x=(473/55.55)*x       - we multiply both sides of the equation by x
100=8.5148514851485*x       - we divide both sides of the equation by (8.5148514851485) to get x
100/8.5148514851485=x
11.744186046512=x
x=11.744186046512

now we have:
55.55 is 11.744186046512% of 473