49665.75 is what percent of 162848.8 - 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 162848.8 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 162848.8, so we can write it down as 100%=162848.8.
4. We know, that x% equals 49665.75 of the output value, so we can write it down as x%=49665.75.
5. Now we have two simple equations:
1) 100%=162848.8
2) x%=49665.75
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%=162848.8/49665.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49665.75 is what percent of 162848.8

100%/x%=162848.8/49665.75
(100/x)*x=(162848.8/49665.75)*x       - we multiply both sides of the equation by x
100=3.278895415855*x       - we divide both sides of the equation by (3.278895415855) to get x
100/3.278895415855=x
30.498075515447=x
x=30.498075515447

now we have:
49665.75 is 30.498075515447% of 162848.8