329.06 is what percent of 1726.96 - 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 1726.96 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 1726.96, so we can write it down as 100%=1726.96.
4. We know, that x% equals 329.06 of the output value, so we can write it down as x%=329.06.
5. Now we have two simple equations:
1) 100%=1726.96
2) x%=329.06
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%=1726.96/329.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 329.06 is what percent of 1726.96

100%/x%=1726.96/329.06
(100/x)*x=(1726.96/329.06)*x       - we multiply both sides of the equation by x
100=5.2481614295265*x       - we divide both sides of the equation by (5.2481614295265) to get x
100/5.2481614295265=x
19.054291934961=x
x=19.054291934961

now we have:
329.06 is 19.054291934961% of 1726.96