What is 87.837 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 87.837% of the output value, so we can write it down as x=87.837%.
5. Now we have two simple equations:
1) 11=100%
2) x=87.837%
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%/87.837%
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 87.837% of 11

11/x=100/87.837
(11/x)*x=(100/87.837)*x       - we multiply both sides of the equation by x
11=1.1384723977367*x       - we divide both sides of the equation by (1.1384723977367) to get x
11/1.1384723977367=x
9.66207=x
x=9.66207

now we have:
87.837% of 11=9.66207