0.2 is what percent of 0.95 - 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 0.95 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 0.95, so we can write it down as 100%=0.95.
4. We know, that x% equals 0.2 of the output value, so we can write it down as x%=0.2.
5. Now we have two simple equations:
1) 100%=0.95
2) x%=0.2
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%=0.95/0.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.2 is what percent of 0.95

100%/x%=0.95/0.2
(100/x)*x=(0.95/0.2)*x       - we multiply both sides of the equation by x
100=4.75*x       - we divide both sides of the equation by (4.75) to get x
100/4.75=x
21.052631578947=x
x=21.052631578947

now we have:
0.2 is 21.052631578947% of 0.95