300.76 is what percent of 2.416 - 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 2.416 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 2.416, so we can write it down as 100%=2.416.
4. We know, that x% equals 300.76 of the output value, so we can write it down as x%=300.76.
5. Now we have two simple equations:
1) 100%=2.416
2) x%=300.76
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%=2.416/300.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 300.76 is what percent of 2.416

100%/x%=2.416/300.76
(100/x)*x=(2.416/300.76)*x       - we multiply both sides of the equation by x
100=0.008032983109456*x       - we divide both sides of the equation by (0.008032983109456) to get x
100/0.008032983109456=x
12448.675496689=x
x=12448.675496689

now we have:
300.76 is 12448.675496689% of 2.416