What is 98.9 percent of 41.82 - 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 41.82 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 41.82 is 100%, so we can write it down as 41.82=100%.
4. We know, that x is 98.9% of the output value, so we can write it down as x=98.9%.
5. Now we have two simple equations:
1) 41.82=100%
2) x=98.9%
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:
41.82/x=100%/98.9%
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 98.9% of 41.82

41.82/x=100/98.9
(41.82/x)*x=(100/98.9)*x       - we multiply both sides of the equation by x
41.82=1.0111223458038*x       - we divide both sides of the equation by (1.0111223458038) to get x
41.82/1.0111223458038=x
41.35998=x
x=41.35998

now we have:
98.9% of 41.82=41.35998