3.27 is what percent of 33.44 - 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 33.44 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 33.44, so we can write it down as 100%=33.44.
4. We know, that x% equals 3.27 of the output value, so we can write it down as x%=3.27.
5. Now we have two simple equations:
1) 100%=33.44
2) x%=3.27
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%=33.44/3.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.27 is what percent of 33.44

100%/x%=33.44/3.27
(100/x)*x=(33.44/3.27)*x       - we multiply both sides of the equation by x
100=10.22629969419*x       - we divide both sides of the equation by (10.22629969419) to get x
100/10.22629969419=x
9.7787081339713=x
x=9.7787081339713

now we have:
3.27 is 9.7787081339713% of 33.44