33.6 is what percent of 119.99 - 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 119.99 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 119.99, so we can write it down as 100%=119.99.
4. We know, that x% equals 33.6 of the output value, so we can write it down as x%=33.6.
5. Now we have two simple equations:
1) 100%=119.99
2) x%=33.6
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%=119.99/33.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.6 is what percent of 119.99

100%/x%=119.99/33.6
(100/x)*x=(119.99/33.6)*x       - we multiply both sides of the equation by x
100=3.571130952381*x       - we divide both sides of the equation by (3.571130952381) to get x
100/3.571130952381=x
28.002333527794=x
x=28.002333527794

now we have:
33.6 is 28.002333527794% of 119.99