What is 34.375 percent of 18.62 - 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 18.62 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 18.62 is 100%, so we can write it down as 18.62=100%.
4. We know, that x is 34.375% of the output value, so we can write it down as x=34.375%.
5. Now we have two simple equations:
1) 18.62=100%
2) x=34.375%
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:
18.62/x=100%/34.375%
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 34.375% of 18.62

18.62/x=100/34.375
(18.62/x)*x=(100/34.375)*x       - we multiply both sides of the equation by x
18.62=2.9090909090909*x       - we divide both sides of the equation by (2.9090909090909) to get x
18.62/2.9090909090909=x
6.400625=x
x=6.400625

now we have:
34.375% of 18.62=6.400625