11.83 is what percent of 33.74 - 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 33.74 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 33.74, so we can write it down as 100%=33.74.
4. We know, that x% equals 11.83 of the output value, so we can write it down as x%=11.83.
5. Now we have two simple equations:
1) 100%=33.74
2) x%=11.83
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%=33.74/11.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.83 is what percent of 33.74

100%/x%=33.74/11.83
(100/x)*x=(33.74/11.83)*x       - we multiply both sides of the equation by x
100=2.8520710059172*x       - we divide both sides of the equation by (2.8520710059172) to get x
100/2.8520710059172=x
35.0622406639=x
x=35.0622406639

now we have:
11.83 is 35.0622406639% of 33.74