What is 6.55 percent of 8433.85 - 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 8433.85 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 8433.85 is 100%, so we can write it down as 8433.85=100%.
4. We know, that x is 6.55% of the output value, so we can write it down as x=6.55%.
5. Now we have two simple equations:
1) 8433.85=100%
2) x=6.55%
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:
8433.85/x=100%/6.55%
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 6.55% of 8433.85

8433.85/x=100/6.55
(8433.85/x)*x=(100/6.55)*x       - we multiply both sides of the equation by x
8433.85=15.267175572519*x       - we divide both sides of the equation by (15.267175572519) to get x
8433.85/15.267175572519=x
552.417175=x
x=552.417175

now we have:
6.55% of 8433.85=552.417175