12.71 is what percent of 121.99 - 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 121.99 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 121.99, so we can write it down as 100%=121.99.
4. We know, that x% equals 12.71 of the output value, so we can write it down as x%=12.71.
5. Now we have two simple equations:
1) 100%=121.99
2) x%=12.71
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%=121.99/12.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.71 is what percent of 121.99

100%/x%=121.99/12.71
(100/x)*x=(121.99/12.71)*x       - we multiply both sides of the equation by x
100=9.5979543666404*x       - we divide both sides of the equation by (9.5979543666404) to get x
100/9.5979543666404=x
10.418886794=x
x=10.418886794

now we have:
12.71 is 10.418886794% of 121.99