799.5 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 799.5 of the output value, so we can write it down as x%=799.5.
5. Now we have two simple equations:
1) 100%=1106
2) x%=799.5
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%=1106/799.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 799.5 is what percent of 1106

100%/x%=1106/799.5
(100/x)*x=(1106/799.5)*x       - we multiply both sides of the equation by x
100=1.3833646028768*x       - we divide both sides of the equation by (1.3833646028768) to get x
100/1.3833646028768=x
72.287522603978=x
x=72.287522603978

now we have:
799.5 is 72.287522603978% of 1106