What is 49.593 percent of 329.5 - 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 329.5 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 329.5 is 100%, so we can write it down as 329.5=100%.
4. We know, that x is 49.593% of the output value, so we can write it down as x=49.593%.
5. Now we have two simple equations:
1) 329.5=100%
2) x=49.593%
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:
329.5/x=100%/49.593%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 49.593% of 329.5

329.5/x=100/49.593
(329.5/x)*x=(100/49.593)*x       - we multiply both sides of the equation by x
329.5=2.016413606759*x       - we divide both sides of the equation by (2.016413606759) to get x
329.5/2.016413606759=x
163.408935=x
x=163.408935

now we have:
49.593% of 329.5=163.408935