28.2 is what percent of 83.42 - 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 83.42 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 83.42, so we can write it down as 100%=83.42.
4. We know, that x% equals 28.2 of the output value, so we can write it down as x%=28.2.
5. Now we have two simple equations:
1) 100%=83.42
2) x%=28.2
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%=83.42/28.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.2 is what percent of 83.42

100%/x%=83.42/28.2
(100/x)*x=(83.42/28.2)*x       - we multiply both sides of the equation by x
100=2.9581560283688*x       - we divide both sides of the equation by (2.9581560283688) to get x
100/2.9581560283688=x
33.804842963318=x
x=33.804842963318

now we have:
28.2 is 33.804842963318% of 83.42