What is 2.16 percent of 99.9 - 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 99.9 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 99.9 is 100%, so we can write it down as 99.9=100%.
4. We know, that x is 2.16% of the output value, so we can write it down as x=2.16%.
5. Now we have two simple equations:
1) 99.9=100%
2) x=2.16%
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:
99.9/x=100%/2.16%
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 2.16% of 99.9

99.9/x=100/2.16
(99.9/x)*x=(100/2.16)*x       - we multiply both sides of the equation by x
99.9=46.296296296296*x       - we divide both sides of the equation by (46.296296296296) to get x
99.9/46.296296296296=x
2.15784=x
x=2.15784

now we have:
2.16% of 99.9=2.15784