What is 84.5 percent of 106.5 - 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 106.5 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 106.5 is 100%, so we can write it down as 106.5=100%.
4. We know, that x is 84.5% of the output value, so we can write it down as x=84.5%.
5. Now we have two simple equations:
1) 106.5=100%
2) x=84.5%
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:
106.5/x=100%/84.5%
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 84.5% of 106.5

106.5/x=100/84.5
(106.5/x)*x=(100/84.5)*x       - we multiply both sides of the equation by x
106.5=1.1834319526627*x       - we divide both sides of the equation by (1.1834319526627) to get x
106.5/1.1834319526627=x
89.9925=x
x=89.9925

now we have:
84.5% of 106.5=89.9925