16.5 is what percent of 263.4 - 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 263.4 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 263.4, so we can write it down as 100%=263.4.
4. We know, that x% equals 16.5 of the output value, so we can write it down as x%=16.5.
5. Now we have two simple equations:
1) 100%=263.4
2) x%=16.5
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%=263.4/16.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.5 is what percent of 263.4

100%/x%=263.4/16.5
(100/x)*x=(263.4/16.5)*x       - we multiply both sides of the equation by x
100=15.963636363636*x       - we divide both sides of the equation by (15.963636363636) to get x
100/15.963636363636=x
6.2642369020501=x
x=6.2642369020501

now we have:
16.5 is 6.2642369020501% of 263.4