28.58 is what percent of 212.04 - 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 212.04 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 212.04, so we can write it down as 100%=212.04.
4. We know, that x% equals 28.58 of the output value, so we can write it down as x%=28.58.
5. Now we have two simple equations:
1) 100%=212.04
2) x%=28.58
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%=212.04/28.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.58 is what percent of 212.04

100%/x%=212.04/28.58
(100/x)*x=(212.04/28.58)*x       - we multiply both sides of the equation by x
100=7.4191742477257*x       - we divide both sides of the equation by (7.4191742477257) to get x
100/7.4191742477257=x
13.478588945482=x
x=13.478588945482

now we have:
28.58 is 13.478588945482% of 212.04