16.65 is what percent of 266.4 - 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 266.4 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 266.4, so we can write it down as 100%=266.4.
4. We know, that x% equals 16.65 of the output value, so we can write it down as x%=16.65.
5. Now we have two simple equations:
1) 100%=266.4
2) x%=16.65
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%=266.4/16.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.65 is what percent of 266.4

100%/x%=266.4/16.65
(100/x)*x=(266.4/16.65)*x       - we multiply both sides of the equation by x
100=16*x       - we divide both sides of the equation by (16) to get x
100/16=x
6.25=x
x=6.25

now we have:
16.65 is 6.25% of 266.4