28.4 is what percent of 85.19 - 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 85.19 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 85.19, so we can write it down as 100%=85.19.
4. We know, that x% equals 28.4 of the output value, so we can write it down as x%=28.4.
5. Now we have two simple equations:
1) 100%=85.19
2) x%=28.4
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%=85.19/28.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.4 is what percent of 85.19

100%/x%=85.19/28.4
(100/x)*x=(85.19/28.4)*x       - we multiply both sides of the equation by x
100=2.9996478873239*x       - we divide both sides of the equation by (2.9996478873239) to get x
100/2.9996478873239=x
33.337246155652=x
x=33.337246155652

now we have:
28.4 is 33.337246155652% of 85.19