What is 11.6 percent of 90.5 - 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 90.5 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 90.5 is 100%, so we can write it down as 90.5=100%.
4. We know, that x is 11.6% of the output value, so we can write it down as x=11.6%.
5. Now we have two simple equations:
1) 90.5=100%
2) x=11.6%
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:
90.5/x=100%/11.6%
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 11.6% of 90.5

90.5/x=100/11.6
(90.5/x)*x=(100/11.6)*x       - we multiply both sides of the equation by x
90.5=8.6206896551724*x       - we divide both sides of the equation by (8.6206896551724) to get x
90.5/8.6206896551724=x
10.498=x
x=10.498

now we have:
11.6% of 90.5=10.498