2.48 is what percent of 11.98 - 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 11.98 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 11.98, so we can write it down as 100%=11.98.
4. We know, that x% equals 2.48 of the output value, so we can write it down as x%=2.48.
5. Now we have two simple equations:
1) 100%=11.98
2) x%=2.48
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%=11.98/2.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.48 is what percent of 11.98

100%/x%=11.98/2.48
(100/x)*x=(11.98/2.48)*x       - we multiply both sides of the equation by x
100=4.8306451612903*x       - we divide both sides of the equation by (4.8306451612903) to get x
100/4.8306451612903=x
20.701168614357=x
x=20.701168614357

now we have:
2.48 is 20.701168614357% of 11.98