20.7 is what percent of 199.2 - 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 199.2 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 199.2, so we can write it down as 100%=199.2.
4. We know, that x% equals 20.7 of the output value, so we can write it down as x%=20.7.
5. Now we have two simple equations:
1) 100%=199.2
2) x%=20.7
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%=199.2/20.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.7 is what percent of 199.2

100%/x%=199.2/20.7
(100/x)*x=(199.2/20.7)*x       - we multiply both sides of the equation by x
100=9.6231884057971*x       - we divide both sides of the equation by (9.6231884057971) to get x
100/9.6231884057971=x
10.39156626506=x
x=10.39156626506

now we have:
20.7 is 10.39156626506% of 199.2