33.09 is what percent of 880 - 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 880 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 880, so we can write it down as 100%=880.
4. We know, that x% equals 33.09 of the output value, so we can write it down as x%=33.09.
5. Now we have two simple equations:
1) 100%=880
2) x%=33.09
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%=880/33.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.09 is what percent of 880

100%/x%=880/33.09
(100/x)*x=(880/33.09)*x       - we multiply both sides of the equation by x
100=26.594137201571*x       - we divide both sides of the equation by (26.594137201571) to get x
100/26.594137201571=x
3.7602272727273=x
x=3.7602272727273

now we have:
33.09 is 3.7602272727273% of 880