11.97 is what percent of 113.99 - 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 113.99 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 113.99, so we can write it down as 100%=113.99.
4. We know, that x% equals 11.97 of the output value, so we can write it down as x%=11.97.
5. Now we have two simple equations:
1) 100%=113.99
2) x%=11.97
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%=113.99/11.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.97 is what percent of 113.99

100%/x%=113.99/11.97
(100/x)*x=(113.99/11.97)*x       - we multiply both sides of the equation by x
100=9.5229741019215*x       - we divide both sides of the equation by (9.5229741019215) to get x
100/9.5229741019215=x
10.500921133433=x
x=10.500921133433

now we have:
11.97 is 10.500921133433% of 113.99