What is 41.74 percent of 99.5 - 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 99.5 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 99.5 is 100%, so we can write it down as 99.5=100%.
4. We know, that x is 41.74% of the output value, so we can write it down as x=41.74%.
5. Now we have two simple equations:
1) 99.5=100%
2) x=41.74%
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:
99.5/x=100%/41.74%
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 41.74% of 99.5

99.5/x=100/41.74
(99.5/x)*x=(100/41.74)*x       - we multiply both sides of the equation by x
99.5=2.3957834211787*x       - we divide both sides of the equation by (2.3957834211787) to get x
99.5/2.3957834211787=x
41.5313=x
x=41.5313

now we have:
41.74% of 99.5=41.5313