49.47 is what percent of 599.97 - 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 599.97 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 599.97, so we can write it down as 100%=599.97.
4. We know, that x% equals 49.47 of the output value, so we can write it down as x%=49.47.
5. Now we have two simple equations:
1) 100%=599.97
2) x%=49.47
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%=599.97/49.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.47 is what percent of 599.97

100%/x%=599.97/49.47
(100/x)*x=(599.97/49.47)*x       - we multiply both sides of the equation by x
100=12.127956337174*x       - we divide both sides of the equation by (12.127956337174) to get x
100/12.127956337174=x
8.2454122706135=x
x=8.2454122706135

now we have:
49.47 is 8.2454122706135% of 599.97