What is 2.65 percent of 5.45 - 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 5.45 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 5.45 is 100%, so we can write it down as 5.45=100%.
4. We know, that x is 2.65% of the output value, so we can write it down as x=2.65%.
5. Now we have two simple equations:
1) 5.45=100%
2) x=2.65%
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:
5.45/x=100%/2.65%
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 2.65% of 5.45

5.45/x=100/2.65
(5.45/x)*x=(100/2.65)*x       - we multiply both sides of the equation by x
5.45=37.735849056604*x       - we divide both sides of the equation by (37.735849056604) to get x
5.45/37.735849056604=x
0.144425=x
x=0.144425

now we have:
2.65% of 5.45=0.144425