23.5 is what percent of 83.5 - 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 83.5 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 83.5, so we can write it down as 100%=83.5.
4. We know, that x% equals 23.5 of the output value, so we can write it down as x%=23.5.
5. Now we have two simple equations:
1) 100%=83.5
2) x%=23.5
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%=83.5/23.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.5 is what percent of 83.5

100%/x%=83.5/23.5
(100/x)*x=(83.5/23.5)*x       - we multiply both sides of the equation by x
100=3.5531914893617*x       - we divide both sides of the equation by (3.5531914893617) to get x
100/3.5531914893617=x
28.14371257485=x
x=28.14371257485

now we have:
23.5 is 28.14371257485% of 83.5