What is 11.69 percent of 45.682 - 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 45.682 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 45.682 is 100%, so we can write it down as 45.682=100%.
4. We know, that x is 11.69% of the output value, so we can write it down as x=11.69%.
5. Now we have two simple equations:
1) 45.682=100%
2) x=11.69%
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:
45.682/x=100%/11.69%
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 11.69% of 45.682

45.682/x=100/11.69
(45.682/x)*x=(100/11.69)*x       - we multiply both sides of the equation by x
45.682=8.5543199315654*x       - we divide both sides of the equation by (8.5543199315654) to get x
45.682/8.5543199315654=x
5.3402258=x
x=5.3402258

now we have:
11.69% of 45.682=5.3402258