10 is what percent of 20.02 - 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 20.02 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 20.02, so we can write it down as 100%=20.02.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=20.02
2) x%=10
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%=20.02/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 20.02

100%/x%=20.02/10
(100/x)*x=(20.02/10)*x       - we multiply both sides of the equation by x
100=2.002*x       - we divide both sides of the equation by (2.002) to get x
100/2.002=x
49.95004995005=x
x=49.95004995005

now we have:
10 is 49.95004995005% of 20.02