16.44 is what percent of 201.75 - 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 201.75 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 201.75, so we can write it down as 100%=201.75.
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%=201.75
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%=201.75/16.44
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 201.75

100%/x%=201.75/16.44
(100/x)*x=(201.75/16.44)*x       - we multiply both sides of the equation by x
100=12.271897810219*x       - we divide both sides of the equation by (12.271897810219) to get x
100/12.271897810219=x
8.1486988847584=x
x=8.1486988847584

now we have:
16.44 is 8.1486988847584% of 201.75