What is 1.3 percent of 486.11 - 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 486.11 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 486.11 is 100%, so we can write it down as 486.11=100%.
4. We know, that x is 1.3% of the output value, so we can write it down as x=1.3%.
5. Now we have two simple equations:
1) 486.11=100%
2) x=1.3%
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:
486.11/x=100%/1.3%
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 1.3% of 486.11

486.11/x=100/1.3
(486.11/x)*x=(100/1.3)*x       - we multiply both sides of the equation by x
486.11=76.923076923077*x       - we divide both sides of the equation by (76.923076923077) to get x
486.11/76.923076923077=x
6.31943=x
x=6.31943

now we have:
1.3% of 486.11=6.31943