455.79 is what percent of 3.006 - 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 3.006 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 3.006, so we can write it down as 100%=3.006.
4. We know, that x% equals 455.79 of the output value, so we can write it down as x%=455.79.
5. Now we have two simple equations:
1) 100%=3.006
2) x%=455.79
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%=3.006/455.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 455.79 is what percent of 3.006

100%/x%=3.006/455.79
(100/x)*x=(3.006/455.79)*x       - we multiply both sides of the equation by x
100=0.0065951424998354*x       - we divide both sides of the equation by (0.0065951424998354) to get x
100/0.0065951424998354=x
15162.674650699=x
x=15162.674650699

now we have:
455.79 is 15162.674650699% of 3.006