What is 9.61 percent of 27.55 - 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 27.55 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 27.55 is 100%, so we can write it down as 27.55=100%.
4. We know, that x is 9.61% of the output value, so we can write it down as x=9.61%.
5. Now we have two simple equations:
1) 27.55=100%
2) x=9.61%
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:
27.55/x=100%/9.61%
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 9.61% of 27.55

27.55/x=100/9.61
(27.55/x)*x=(100/9.61)*x       - we multiply both sides of the equation by x
27.55=10.405827263267*x       - we divide both sides of the equation by (10.405827263267) to get x
27.55/10.405827263267=x
2.647555=x
x=2.647555

now we have:
9.61% of 27.55=2.647555