What is 1.17 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 1.17% of the output value, so we can write it down as x=1.17%.
5. Now we have two simple equations:
1) 442.61=100%
2) x=1.17%
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%/1.17%
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 1.17% of 442.61

442.61/x=100/1.17
(442.61/x)*x=(100/1.17)*x       - we multiply both sides of the equation by x
442.61=85.470085470085*x       - we divide both sides of the equation by (85.470085470085) to get x
442.61/85.470085470085=x
5.178537=x
x=5.178537

now we have:
1.17% of 442.61=5.178537