0.2 is what percent of 1.07 - 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 1.07 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 1.07, so we can write it down as 100%=1.07.
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%=1.07
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%=1.07/0.2
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 1.07

100%/x%=1.07/0.2
(100/x)*x=(1.07/0.2)*x       - we multiply both sides of the equation by x
100=5.35*x       - we divide both sides of the equation by (5.35) to get x
100/5.35=x
18.691588785047=x
x=18.691588785047

now we have:
0.2 is 18.691588785047% of 1.07