What is 1300 percent of 82.9 - 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 82.9 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 82.9 is 100%, so we can write it down as 82.9=100%.
4. We know, that x is 1300% of the output value, so we can write it down as x=1300%.
5. Now we have two simple equations:
1) 82.9=100%
2) x=1300%
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:
82.9/x=100%/1300%
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 1300% of 82.9

82.9/x=100/1300
(82.9/x)*x=(100/1300)*x       - we multiply both sides of the equation by x
82.9=0.076923076923077*x       - we divide both sides of the equation by (0.076923076923077) to get x
82.9/0.076923076923077=x
1077.7=x
x=1077.7

now we have:
1300% of 82.9=1077.7