What is 749.23 percent of 11 - 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 11 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 11 is 100%, so we can write it down as 11=100%.
4. We know, that x is 749.23% of the output value, so we can write it down as x=749.23%.
5. Now we have two simple equations:
1) 11=100%
2) x=749.23%
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:
11/x=100%/749.23%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 749.23% of 11

11/x=100/749.23
(11/x)*x=(100/749.23)*x       - we multiply both sides of the equation by x
11=0.13347036290592*x       - we divide both sides of the equation by (0.13347036290592) to get x
11/0.13347036290592=x
82.4153=x
x=82.4153

now we have:
749.23% of 11=82.4153