33.11 is what percent of 899.99 - 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 899.99 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 899.99, so we can write it down as 100%=899.99.
4. We know, that x% equals 33.11 of the output value, so we can write it down as x%=33.11.
5. Now we have two simple equations:
1) 100%=899.99
2) x%=33.11
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%=899.99/33.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.11 is what percent of 899.99

100%/x%=899.99/33.11
(100/x)*x=(899.99/33.11)*x       - we multiply both sides of the equation by x
100=27.181818181818*x       - we divide both sides of the equation by (27.181818181818) to get x
100/27.181818181818=x
3.6789297658863=x
x=3.6789297658863

now we have:
33.11 is 3.6789297658863% of 899.99