What is 87.8 percent of 11.3 - 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 11.3 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 11.3 is 100%, so we can write it down as 11.3=100%.
4. We know, that x is 87.8% of the output value, so we can write it down as x=87.8%.
5. Now we have two simple equations:
1) 11.3=100%
2) x=87.8%
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:
11.3/x=100%/87.8%
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 87.8% of 11.3

11.3/x=100/87.8
(11.3/x)*x=(100/87.8)*x       - we multiply both sides of the equation by x
11.3=1.1389521640091*x       - we divide both sides of the equation by (1.1389521640091) to get x
11.3/1.1389521640091=x
9.9214=x
x=9.9214

now we have:
87.8% of 11.3=9.9214