329.66 is what percent of 2029.73 - 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 2029.73 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 2029.73, so we can write it down as 100%=2029.73.
4. We know, that x% equals 329.66 of the output value, so we can write it down as x%=329.66.
5. Now we have two simple equations:
1) 100%=2029.73
2) x%=329.66
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%=2029.73/329.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 329.66 is what percent of 2029.73

100%/x%=2029.73/329.66
(100/x)*x=(2029.73/329.66)*x       - we multiply both sides of the equation by x
100=6.1570405872717*x       - we divide both sides of the equation by (6.1570405872717) to get x
100/6.1570405872717=x
16.24156907569=x
x=16.24156907569

now we have:
329.66 is 16.24156907569% of 2029.73