62.02 is what percent of 1409.6 - 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 1409.6 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 1409.6, so we can write it down as 100%=1409.6.
4. We know, that x% equals 62.02 of the output value, so we can write it down as x%=62.02.
5. Now we have two simple equations:
1) 100%=1409.6
2) x%=62.02
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%=1409.6/62.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.02 is what percent of 1409.6

100%/x%=1409.6/62.02
(100/x)*x=(1409.6/62.02)*x       - we multiply both sides of the equation by x
100=22.728152208965*x       - we divide both sides of the equation by (22.728152208965) to get x
100/22.728152208965=x
4.399829738933=x
x=4.399829738933

now we have:
62.02 is 4.399829738933% of 1409.6