23.5 is what percent of 123.2 - 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 123.2 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 123.2, so we can write it down as 100%=123.2.
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%=123.2
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%=123.2/23.5
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 123.2

100%/x%=123.2/23.5
(100/x)*x=(123.2/23.5)*x       - we multiply both sides of the equation by x
100=5.2425531914894*x       - we divide both sides of the equation by (5.2425531914894) to get x
100/5.2425531914894=x
19.074675324675=x
x=19.074675324675

now we have:
23.5 is 19.074675324675% of 123.2