What is 4.596 percent of 45 - 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 45 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 45 is 100%, so we can write it down as 45=100%.
4. We know, that x is 4.596% of the output value, so we can write it down as x=4.596%.
5. Now we have two simple equations:
1) 45=100%
2) x=4.596%
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:
45/x=100%/4.596%
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 4.596% of 45

45/x=100/4.596
(45/x)*x=(100/4.596)*x       - we multiply both sides of the equation by x
45=21.758050478677*x       - we divide both sides of the equation by (21.758050478677) to get x
45/21.758050478677=x
2.0682=x
x=2.0682

now we have:
4.596% of 45=2.0682