62.08 is what percent of 1418.4 - 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 1418.4 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 1418.4, so we can write it down as 100%=1418.4.
4. We know, that x% equals 62.08 of the output value, so we can write it down as x%=62.08.
5. Now we have two simple equations:
1) 100%=1418.4
2) x%=62.08
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%=1418.4/62.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.08 is what percent of 1418.4

100%/x%=1418.4/62.08
(100/x)*x=(1418.4/62.08)*x       - we multiply both sides of the equation by x
100=22.84793814433*x       - we divide both sides of the equation by (22.84793814433) to get x
100/22.84793814433=x
4.3767625493514=x
x=4.3767625493514

now we have:
62.08 is 4.3767625493514% of 1418.4