0.2 is what percent of 1.57 - 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 1.57 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 1.57, so we can write it down as 100%=1.57.
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%=1.57
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%=1.57/0.2
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 1.57

100%/x%=1.57/0.2
(100/x)*x=(1.57/0.2)*x       - we multiply both sides of the equation by x
100=7.85*x       - we divide both sides of the equation by (7.85) to get x
100/7.85=x
12.738853503185=x
x=12.738853503185

now we have:
0.2 is 12.738853503185% of 1.57