23.8 is what percent of 131.3 - 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 131.3 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 131.3, so we can write it down as 100%=131.3.
4. We know, that x% equals 23.8 of the output value, so we can write it down as x%=23.8.
5. Now we have two simple equations:
1) 100%=131.3
2) x%=23.8
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%=131.3/23.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.8 is what percent of 131.3

100%/x%=131.3/23.8
(100/x)*x=(131.3/23.8)*x       - we multiply both sides of the equation by x
100=5.5168067226891*x       - we divide both sides of the equation by (5.5168067226891) to get x
100/5.5168067226891=x
18.126428027418=x
x=18.126428027418

now we have:
23.8 is 18.126428027418% of 131.3