0.2 is what percent of 85.2 - 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 85.2 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 85.2, so we can write it down as 100%=85.2.
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%=85.2
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%=85.2/0.2
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 85.2

100%/x%=85.2/0.2
(100/x)*x=(85.2/0.2)*x       - we multiply both sides of the equation by x
100=426*x       - we divide both sides of the equation by (426) to get x
100/426=x
0.23474178403756=x
x=0.23474178403756

now we have:
0.2 is 0.23474178403756% of 85.2