What is 46.67 percent of 11.7 - 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 11.7 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 11.7 is 100%, so we can write it down as 11.7=100%.
4. We know, that x is 46.67% of the output value, so we can write it down as x=46.67%.
5. Now we have two simple equations:
1) 11.7=100%
2) x=46.67%
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:
11.7/x=100%/46.67%
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 46.67% of 11.7

11.7/x=100/46.67
(11.7/x)*x=(100/46.67)*x       - we multiply both sides of the equation by x
11.7=2.1427040925648*x       - we divide both sides of the equation by (2.1427040925648) to get x
11.7/2.1427040925648=x
5.46039=x
x=5.46039

now we have:
46.67% of 11.7=5.46039