What is 45.4 percent of 8.61 - 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 8.61 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 8.61 is 100%, so we can write it down as 8.61=100%.
4. We know, that x is 45.4% of the output value, so we can write it down as x=45.4%.
5. Now we have two simple equations:
1) 8.61=100%
2) x=45.4%
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:
8.61/x=100%/45.4%
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 45.4% of 8.61

8.61/x=100/45.4
(8.61/x)*x=(100/45.4)*x       - we multiply both sides of the equation by x
8.61=2.2026431718062*x       - we divide both sides of the equation by (2.2026431718062) to get x
8.61/2.2026431718062=x
3.90894=x
x=3.90894

now we have:
45.4% of 8.61=3.90894