What is 1.265 percent of 5.06 - 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 5.06 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 5.06 is 100%, so we can write it down as 5.06=100%.
4. We know, that x is 1.265% of the output value, so we can write it down as x=1.265%.
5. Now we have two simple equations:
1) 5.06=100%
2) x=1.265%
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:
5.06/x=100%/1.265%
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 1.265% of 5.06

5.06/x=100/1.265
(5.06/x)*x=(100/1.265)*x       - we multiply both sides of the equation by x
5.06=79.051383399209*x       - we divide both sides of the equation by (79.051383399209) to get x
5.06/79.051383399209=x
0.064009=x
x=0.064009

now we have:
1.265% of 5.06=0.064009