28.94 is what percent of 33.84 - 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 33.84 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 33.84, so we can write it down as 100%=33.84.
4. We know, that x% equals 28.94 of the output value, so we can write it down as x%=28.94.
5. Now we have two simple equations:
1) 100%=33.84
2) x%=28.94
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%=33.84/28.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.94 is what percent of 33.84

100%/x%=33.84/28.94
(100/x)*x=(33.84/28.94)*x       - we multiply both sides of the equation by x
100=1.1693158258466*x       - we divide both sides of the equation by (1.1693158258466) to get x
100/1.1693158258466=x
85.520094562648=x
x=85.520094562648

now we have:
28.94 is 85.520094562648% of 33.84