477.82 is what percent of 3477.82 - 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 3477.82 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 3477.82, so we can write it down as 100%=3477.82.
4. We know, that x% equals 477.82 of the output value, so we can write it down as x%=477.82.
5. Now we have two simple equations:
1) 100%=3477.82
2) x%=477.82
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%=3477.82/477.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 477.82 is what percent of 3477.82

100%/x%=3477.82/477.82
(100/x)*x=(3477.82/477.82)*x       - we multiply both sides of the equation by x
100=7.2785149219371*x       - we divide both sides of the equation by (7.2785149219371) to get x
100/7.2785149219371=x
13.73906642667=x
x=13.73906642667

now we have:
477.82 is 13.73906642667% of 3477.82