2.46 is what percent of 240.51 - 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 240.51 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 240.51, so we can write it down as 100%=240.51.
4. We know, that x% equals 2.46 of the output value, so we can write it down as x%=2.46.
5. Now we have two simple equations:
1) 100%=240.51
2) x%=2.46
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%=240.51/2.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.46 is what percent of 240.51

100%/x%=240.51/2.46
(100/x)*x=(240.51/2.46)*x       - we multiply both sides of the equation by x
100=97.768292682927*x       - we divide both sides of the equation by (97.768292682927) to get x
100/97.768292682927=x
1.0228264937009=x
x=1.0228264937009

now we have:
2.46 is 1.0228264937009% of 240.51