19.85 is what percent of 20 - 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 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, so we can write it down as 100%=20.
4. We know, that x% equals 19.85 of the output value, so we can write it down as x%=19.85.
5. Now we have two simple equations:
1) 100%=20
2) x%=19.85
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%=20/19.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.85 is what percent of 20

100%/x%=20/19.85
(100/x)*x=(20/19.85)*x       - we multiply both sides of the equation by x
100=1.007556675063*x       - we divide both sides of the equation by (1.007556675063) to get x
100/1.007556675063=x
99.25=x
x=99.25

now we have:
19.85 is 99.25% of 20