What is 15.23 percent of 1082.9 - 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 1082.9 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 1082.9 is 100%, so we can write it down as 1082.9=100%.
4. We know, that x is 15.23% of the output value, so we can write it down as x=15.23%.
5. Now we have two simple equations:
1) 1082.9=100%
2) x=15.23%
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:
1082.9/x=100%/15.23%
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 15.23% of 1082.9

1082.9/x=100/15.23
(1082.9/x)*x=(100/15.23)*x       - we multiply both sides of the equation by x
1082.9=6.5659881812213*x       - we divide both sides of the equation by (6.5659881812213) to get x
1082.9/6.5659881812213=x
164.92567=x
x=164.92567

now we have:
15.23% of 1082.9=164.92567