7678.73 is what percent of 49646.73 - 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 49646.73 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 49646.73, so we can write it down as 100%=49646.73.
4. We know, that x% equals 7678.73 of the output value, so we can write it down as x%=7678.73.
5. Now we have two simple equations:
1) 100%=49646.73
2) x%=7678.73
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%=49646.73/7678.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7678.73 is what percent of 49646.73

100%/x%=49646.73/7678.73
(100/x)*x=(49646.73/7678.73)*x       - we multiply both sides of the equation by x
100=6.4654871313355*x       - we divide both sides of the equation by (6.4654871313355) to get x
100/6.4654871313355=x
15.46673869558=x
x=15.46673869558

now we have:
7678.73 is 15.46673869558% of 49646.73