6.63 is what percent of 16.47 - 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 16.47 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 16.47, so we can write it down as 100%=16.47.
4. We know, that x% equals 6.63 of the output value, so we can write it down as x%=6.63.
5. Now we have two simple equations:
1) 100%=16.47
2) x%=6.63
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%=16.47/6.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.63 is what percent of 16.47

100%/x%=16.47/6.63
(100/x)*x=(16.47/6.63)*x       - we multiply both sides of the equation by x
100=2.4841628959276*x       - we divide both sides of the equation by (2.4841628959276) to get x
100/2.4841628959276=x
40.255009107468=x
x=40.255009107468

now we have:
6.63 is 40.255009107468% of 16.47