460.8 is what percent of 3460.7 - 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 3460.7 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 3460.7, so we can write it down as 100%=3460.7.
4. We know, that x% equals 460.8 of the output value, so we can write it down as x%=460.8.
5. Now we have two simple equations:
1) 100%=3460.7
2) x%=460.8
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%=3460.7/460.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 460.8 is what percent of 3460.7

100%/x%=3460.7/460.8
(100/x)*x=(3460.7/460.8)*x       - we multiply both sides of the equation by x
100=7.5101996527778*x       - we divide both sides of the equation by (7.5101996527778) to get x
100/7.5101996527778=x
13.315225243448=x
x=13.315225243448

now we have:
460.8 is 13.315225243448% of 3460.7