What is 15.9 percent of 26.85 - 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 26.85 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 26.85 is 100%, so we can write it down as 26.85=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) 26.85=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:
26.85/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 26.85

26.85/x=100/15.9
(26.85/x)*x=(100/15.9)*x       - we multiply both sides of the equation by x
26.85=6.2893081761006*x       - we divide both sides of the equation by (6.2893081761006) to get x
26.85/6.2893081761006=x
4.26915=x
x=4.26915

now we have:
15.9% of 26.85=4.26915