47.49 is what percent of 460.44 - 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 460.44 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 460.44, so we can write it down as 100%=460.44.
4. We know, that x% equals 47.49 of the output value, so we can write it down as x%=47.49.
5. Now we have two simple equations:
1) 100%=460.44
2) x%=47.49
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%=460.44/47.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.49 is what percent of 460.44

100%/x%=460.44/47.49
(100/x)*x=(460.44/47.49)*x       - we multiply both sides of the equation by x
100=9.6955148452306*x       - we divide both sides of the equation by (9.6955148452306) to get x
100/9.6955148452306=x
10.31404743289=x
x=10.31404743289

now we have:
47.49 is 10.31404743289% of 460.44