10.02 is what percent of 62.02 - 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 62.02 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 62.02, so we can write it down as 100%=62.02.
4. We know, that x% equals 10.02 of the output value, so we can write it down as x%=10.02.
5. Now we have two simple equations:
1) 100%=62.02
2) x%=10.02
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%=62.02/10.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.02 is what percent of 62.02

100%/x%=62.02/10.02
(100/x)*x=(62.02/10.02)*x       - we multiply both sides of the equation by x
100=6.189620758483*x       - we divide both sides of the equation by (6.189620758483) to get x
100/6.189620758483=x
16.156078684295=x
x=16.156078684295

now we have:
10.02 is 16.156078684295% of 62.02