What is 6.99 percent of 506.8 - 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 506.8 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 506.8 is 100%, so we can write it down as 506.8=100%.
4. We know, that x is 6.99% of the output value, so we can write it down as x=6.99%.
5. Now we have two simple equations:
1) 506.8=100%
2) x=6.99%
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:
506.8/x=100%/6.99%
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 6.99% of 506.8

506.8/x=100/6.99
(506.8/x)*x=(100/6.99)*x       - we multiply both sides of the equation by x
506.8=14.306151645207*x       - we divide both sides of the equation by (14.306151645207) to get x
506.8/14.306151645207=x
35.42532=x
x=35.42532

now we have:
6.99% of 506.8=35.42532