What is 1.3 percent of 19.7 - 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 19.7 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 19.7 is 100%, so we can write it down as 19.7=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) 19.7=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:
19.7/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 19.7

19.7/x=100/1.3
(19.7/x)*x=(100/1.3)*x       - we multiply both sides of the equation by x
19.7=76.923076923077*x       - we divide both sides of the equation by (76.923076923077) to get x
19.7/76.923076923077=x
0.2561=x
x=0.2561

now we have:
1.3% of 19.7=0.2561