What is 13.04 percent of 282.62 - 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 282.62 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 282.62 is 100%, so we can write it down as 282.62=100%.
4. We know, that x is 13.04% of the output value, so we can write it down as x=13.04%.
5. Now we have two simple equations:
1) 282.62=100%
2) x=13.04%
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:
282.62/x=100%/13.04%
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 13.04% of 282.62

282.62/x=100/13.04
(282.62/x)*x=(100/13.04)*x       - we multiply both sides of the equation by x
282.62=7.6687116564417*x       - we divide both sides of the equation by (7.6687116564417) to get x
282.62/7.6687116564417=x
36.853648=x
x=36.853648

now we have:
13.04% of 282.62=36.853648