20 is what percent of 99.7 - 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 99.7 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 99.7, so we can write it down as 100%=99.7.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=99.7
2) x%=20
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%=99.7/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 99.7

100%/x%=99.7/20
(100/x)*x=(99.7/20)*x       - we multiply both sides of the equation by x
100=4.985*x       - we divide both sides of the equation by (4.985) to get x
100/4.985=x
20.060180541625=x
x=20.060180541625

now we have:
20 is 20.060180541625% of 99.7