28.84 is what percent of 33 - 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 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, so we can write it down as 100%=33.
4. We know, that x% equals 28.84 of the output value, so we can write it down as x%=28.84.
5. Now we have two simple equations:
1) 100%=33
2) x%=28.84
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%=33/28.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.84 is what percent of 33

100%/x%=33/28.84
(100/x)*x=(33/28.84)*x       - we multiply both sides of the equation by x
100=1.1442441054092*x       - we divide both sides of the equation by (1.1442441054092) to get x
100/1.1442441054092=x
87.393939393939=x
x=87.393939393939

now we have:
28.84 is 87.393939393939% of 33