What is 90.9 percent of 91 - 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 91 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 91 is 100%, so we can write it down as 91=100%.
4. We know, that x is 90.9% of the output value, so we can write it down as x=90.9%.
5. Now we have two simple equations:
1) 91=100%
2) x=90.9%
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:
91/x=100%/90.9%
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 90.9% of 91

91/x=100/90.9
(91/x)*x=(100/90.9)*x       - we multiply both sides of the equation by x
91=1.1001100110011*x       - we divide both sides of the equation by (1.1001100110011) to get x
91/1.1001100110011=x
82.719=x
x=82.719

now we have:
90.9% of 91=82.719