12 is what percent of 121 - 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 121 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 121, so we can write it down as 100%=121.
4. We know, that x% equals 12 of the output value, so we can write it down as x%=12.
5. Now we have two simple equations:
1) 100%=121
2) x%=12
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%=121/12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12 is what percent of 121

100%/x%=121/12
(100/x)*x=(121/12)*x       - we multiply both sides of the equation by x
100=10.0833333333*x       - we divide both sides of the equation by (10.0833333333) to get x
100/10.0833333333=x
9.9173553719=x
x=9.9173553719

now we have:
12 is 9.9173553719% of 121