4.47 is what percent of 55.53 - 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 55.53 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 55.53, so we can write it down as 100%=55.53.
4. We know, that x% equals 4.47 of the output value, so we can write it down as x%=4.47.
5. Now we have two simple equations:
1) 100%=55.53
2) x%=4.47
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%=55.53/4.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.47 is what percent of 55.53

100%/x%=55.53/4.47
(100/x)*x=(55.53/4.47)*x       - we multiply both sides of the equation by x
100=12.422818791946*x       - we divide both sides of the equation by (12.422818791946) to get x
100/12.422818791946=x
8.0497028633171=x
x=8.0497028633171

now we have:
4.47 is 8.0497028633171% of 55.53