What is 9.975 percent of 442.26 - 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 442.26 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 442.26 is 100%, so we can write it down as 442.26=100%.
4. We know, that x is 9.975% of the output value, so we can write it down as x=9.975%.
5. Now we have two simple equations:
1) 442.26=100%
2) x=9.975%
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:
442.26/x=100%/9.975%
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 9.975% of 442.26

442.26/x=100/9.975
(442.26/x)*x=(100/9.975)*x       - we multiply both sides of the equation by x
442.26=10.025062656642*x       - we divide both sides of the equation by (10.025062656642) to get x
442.26/10.025062656642=x
44.115435=x
x=44.115435

now we have:
9.975% of 442.26=44.115435