16.44 is what percent of 53.55 - 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 53.55 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 53.55, so we can write it down as 100%=53.55.
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%=53.55
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%=53.55/16.44
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 53.55

100%/x%=53.55/16.44
(100/x)*x=(53.55/16.44)*x       - we multiply both sides of the equation by x
100=3.257299270073*x       - we divide both sides of the equation by (3.257299270073) to get x
100/3.257299270073=x
30.700280112045=x
x=30.700280112045

now we have:
16.44 is 30.700280112045% of 53.55