16.44 is what percent of 10.84 - 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 10.84 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 10.84, so we can write it down as 100%=10.84.
4. We know, that x% equals 16.44 of the output value, so we can write it down as x%=16.44.
5. Now we have two simple equations:
1) 100%=10.84
2) x%=16.44
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%=10.84/16.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.44 is what percent of 10.84

100%/x%=10.84/16.44
(100/x)*x=(10.84/16.44)*x       - we multiply both sides of the equation by x
100=0.65936739659367*x       - we divide both sides of the equation by (0.65936739659367) to get x
100/0.65936739659367=x
151.66051660517=x
x=151.66051660517

now we have:
16.44 is 151.66051660517% of 10.84