0.1 is what percent of 0.12 - 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 0.12 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 0.12, so we can write it down as 100%=0.12.
4. We know, that x% equals 0.1 of the output value, so we can write it down as x%=0.1.
5. Now we have two simple equations:
1) 100%=0.12
2) x%=0.1
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%=0.12/0.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.1 is what percent of 0.12

100%/x%=0.12/0.1
(100/x)*x=(0.12/0.1)*x       - we multiply both sides of the equation by x
100=1.2*x       - we divide both sides of the equation by (1.2) to get x
100/1.2=x
83.3333333333=x
x=83.3333333333

now we have:
0.1 is 83.3333333333% of 0.12