2.48 is what percent of 113.3 - 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 113.3 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 113.3, so we can write it down as 100%=113.3.
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%=113.3
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%=113.3/2.48
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 113.3

100%/x%=113.3/2.48
(100/x)*x=(113.3/2.48)*x       - we multiply both sides of the equation by x
100=45.685483870968*x       - we divide both sides of the equation by (45.685483870968) to get x
100/45.685483870968=x
2.188879082083=x
x=2.188879082083

now we have:
2.48 is 2.188879082083% of 113.3