16.61 is what percent of 65.05 - 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 65.05 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 65.05, so we can write it down as 100%=65.05.
4. We know, that x% equals 16.61 of the output value, so we can write it down as x%=16.61.
5. Now we have two simple equations:
1) 100%=65.05
2) x%=16.61
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%=65.05/16.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.61 is what percent of 65.05

100%/x%=65.05/16.61
(100/x)*x=(65.05/16.61)*x       - we multiply both sides of the equation by x
100=3.9163154726069*x       - we divide both sides of the equation by (3.9163154726069) to get x
100/3.9163154726069=x
25.534204458109=x
x=25.534204458109

now we have:
16.61 is 25.534204458109% of 65.05