What is 11.677 percent of 0.67 - 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 0.67 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 0.67 is 100%, so we can write it down as 0.67=100%.
4. We know, that x is 11.677% of the output value, so we can write it down as x=11.677%.
5. Now we have two simple equations:
1) 0.67=100%
2) x=11.677%
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:
0.67/x=100%/11.677%
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 11.677% of 0.67

0.67/x=100/11.677
(0.67/x)*x=(100/11.677)*x       - we multiply both sides of the equation by x
0.67=8.5638434529417*x       - we divide both sides of the equation by (8.5638434529417) to get x
0.67/8.5638434529417=x
0.0782359=x
x=0.0782359

now we have:
11.677% of 0.67=0.0782359