3.19 is what percent of 165.33 - 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 165.33 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 165.33, so we can write it down as 100%=165.33.
4. We know, that x% equals 3.19 of the output value, so we can write it down as x%=3.19.
5. Now we have two simple equations:
1) 100%=165.33
2) x%=3.19
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%=165.33/3.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.19 is what percent of 165.33

100%/x%=165.33/3.19
(100/x)*x=(165.33/3.19)*x       - we multiply both sides of the equation by x
100=51.827586206897*x       - we divide both sides of the equation by (51.827586206897) to get x
100/51.827586206897=x
1.9294743845642=x
x=1.9294743845642

now we have:
3.19 is 1.9294743845642% of 165.33