What is 11.72 percent of 101 - 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 101 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 101 is 100%, so we can write it down as 101=100%.
4. We know, that x is 11.72% of the output value, so we can write it down as x=11.72%.
5. Now we have two simple equations:
1) 101=100%
2) x=11.72%
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:
101/x=100%/11.72%
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 11.72% of 101

101/x=100/11.72
(101/x)*x=(100/11.72)*x       - we multiply both sides of the equation by x
101=8.5324232081911*x       - we divide both sides of the equation by (8.5324232081911) to get x
101/8.5324232081911=x
11.8372=x
x=11.8372

now we have:
11.72% of 101=11.8372