16.45 is what percent of 16.6 - 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 16.6 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 16.6, so we can write it down as 100%=16.6.
4. We know, that x% equals 16.45 of the output value, so we can write it down as x%=16.45.
5. Now we have two simple equations:
1) 100%=16.6
2) x%=16.45
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%=16.6/16.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.45 is what percent of 16.6

100%/x%=16.6/16.45
(100/x)*x=(16.6/16.45)*x       - we multiply both sides of the equation by x
100=1.0091185410334*x       - we divide both sides of the equation by (1.0091185410334) to get x
100/1.0091185410334=x
99.096385542169=x
x=99.096385542169

now we have:
16.45 is 99.096385542169% of 16.6