10.8 is what percent of 123.8 - 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 123.8 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 123.8, so we can write it down as 100%=123.8.
4. We know, that x% equals 10.8 of the output value, so we can write it down as x%=10.8.
5. Now we have two simple equations:
1) 100%=123.8
2) x%=10.8
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%=123.8/10.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.8 is what percent of 123.8

100%/x%=123.8/10.8
(100/x)*x=(123.8/10.8)*x       - we multiply both sides of the equation by x
100=11.462962962963*x       - we divide both sides of the equation by (11.462962962963) to get x
100/11.462962962963=x
8.7237479806139=x
x=8.7237479806139

now we have:
10.8 is 8.7237479806139% of 123.8