What is 100.9 percent of 84.5 - 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 84.5 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 84.5 is 100%, so we can write it down as 84.5=100%.
4. We know, that x is 100.9% of the output value, so we can write it down as x=100.9%.
5. Now we have two simple equations:
1) 84.5=100%
2) x=100.9%
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:
84.5/x=100%/100.9%
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 100.9% of 84.5

84.5/x=100/100.9
(84.5/x)*x=(100/100.9)*x       - we multiply both sides of the equation by x
84.5=0.99108027750248*x       - we divide both sides of the equation by (0.99108027750248) to get x
84.5/0.99108027750248=x
85.2605=x
x=85.2605

now we have:
100.9% of 84.5=85.2605