What is 1.3 percent of 26.6 - 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 26.6 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 26.6 is 100%, so we can write it down as 26.6=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) 26.6=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:
26.6/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 26.6

26.6/x=100/1.3
(26.6/x)*x=(100/1.3)*x       - we multiply both sides of the equation by x
26.6=76.923076923077*x       - we divide both sides of the equation by (76.923076923077) to get x
26.6/76.923076923077=x
0.3458=x
x=0.3458

now we have:
1.3% of 26.6=0.3458