163.46 is what percent of 3269.24 - 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 3269.24 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 3269.24, so we can write it down as 100%=3269.24.
4. We know, that x% equals 163.46 of the output value, so we can write it down as x%=163.46.
5. Now we have two simple equations:
1) 100%=3269.24
2) x%=163.46
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%=3269.24/163.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.46 is what percent of 3269.24

100%/x%=3269.24/163.46
(100/x)*x=(3269.24/163.46)*x       - we multiply both sides of the equation by x
100=20.000244708185*x       - we divide both sides of the equation by (20.000244708185) to get x
100/20.000244708185=x
4.9999388237021=x
x=4.9999388237021

now we have:
163.46 is 4.9999388237021% of 3269.24