12.24 is what percent of 98.9 - 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 98.9 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 98.9, so we can write it down as 100%=98.9.
4. We know, that x% equals 12.24 of the output value, so we can write it down as x%=12.24.
5. Now we have two simple equations:
1) 100%=98.9
2) x%=12.24
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%=98.9/12.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.24 is what percent of 98.9

100%/x%=98.9/12.24
(100/x)*x=(98.9/12.24)*x       - we multiply both sides of the equation by x
100=8.0800653594771*x       - we divide both sides of the equation by (8.0800653594771) to get x
100/8.0800653594771=x
12.376137512639=x
x=12.376137512639

now we have:
12.24 is 12.376137512639% of 98.9