What is 15.9 percent of 34.6 - 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 34.6 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 34.6 is 100%, so we can write it down as 34.6=100%.
4. We know, that x is 15.9% of the output value, so we can write it down as x=15.9%.
5. Now we have two simple equations:
1) 34.6=100%
2) x=15.9%
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:
34.6/x=100%/15.9%
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 15.9% of 34.6

34.6/x=100/15.9
(34.6/x)*x=(100/15.9)*x       - we multiply both sides of the equation by x
34.6=6.2893081761006*x       - we divide both sides of the equation by (6.2893081761006) to get x
34.6/6.2893081761006=x
5.5014=x
x=5.5014

now we have:
15.9% of 34.6=5.5014