What is 2.51 percent of 442.61 - 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 442.61 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 442.61 is 100%, so we can write it down as 442.61=100%.
4. We know, that x is 2.51% of the output value, so we can write it down as x=2.51%.
5. Now we have two simple equations:
1) 442.61=100%
2) x=2.51%
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:
442.61/x=100%/2.51%
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 2.51% of 442.61

442.61/x=100/2.51
(442.61/x)*x=(100/2.51)*x       - we multiply both sides of the equation by x
442.61=39.840637450199*x       - we divide both sides of the equation by (39.840637450199) to get x
442.61/39.840637450199=x
11.109511=x
x=11.109511

now we have:
2.51% of 442.61=11.109511