460.75 is what percent of 2.95 - 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 2.95 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 2.95, so we can write it down as 100%=2.95.
4. We know, that x% equals 460.75 of the output value, so we can write it down as x%=460.75.
5. Now we have two simple equations:
1) 100%=2.95
2) x%=460.75
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%=2.95/460.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 460.75 is what percent of 2.95

100%/x%=2.95/460.75
(100/x)*x=(2.95/460.75)*x       - we multiply both sides of the equation by x
100=0.0064026044492675*x       - we divide both sides of the equation by (0.0064026044492675) to get x
100/0.0064026044492675=x
15618.644067797=x
x=15618.644067797

now we have:
460.75 is 15618.644067797% of 2.95