36 is what percent of 1106 - 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 1106 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 1106, so we can write it down as 100%=1106.
4. We know, that x% equals 36 of the output value, so we can write it down as x%=36.
5. Now we have two simple equations:
1) 100%=1106
2) x%=36
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%=1106/36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36 is what percent of 1106

100%/x%=1106/36
(100/x)*x=(1106/36)*x       - we multiply both sides of the equation by x
100=30.722222222222*x       - we divide both sides of the equation by (30.722222222222) to get x
100/30.722222222222=x
3.254972875226=x
x=3.254972875226

now we have:
36 is 3.254972875226% of 1106