1.65 is what percent of 27 - 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 27 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 27, so we can write it down as 100%=27.
4. We know, that x% equals 1.65 of the output value, so we can write it down as x%=1.65.
5. Now we have two simple equations:
1) 100%=27
2) x%=1.65
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%=27/1.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.65 is what percent of 27

100%/x%=27/1.65
(100/x)*x=(27/1.65)*x       - we multiply both sides of the equation by x
100=16.363636363636*x       - we divide both sides of the equation by (16.363636363636) to get x
100/16.363636363636=x
6.1111111111111=x
x=6.1111111111111

now we have:
1.65 is 6.1111111111111% of 27