What is 1.3 percent of 10.782 - 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 10.782 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 10.782 is 100%, so we can write it down as 10.782=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) 10.782=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:
10.782/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 10.782

10.782/x=100/1.3
(10.782/x)*x=(100/1.3)*x       - we multiply both sides of the equation by x
10.782=76.923076923077*x       - we divide both sides of the equation by (76.923076923077) to get x
10.782/76.923076923077=x
0.140166=x
x=0.140166

now we have:
1.3% of 10.782=0.140166