What is 6.99 percent of 10646.46 - 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 10646.46 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 10646.46 is 100%, so we can write it down as 10646.46=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) 10646.46=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:
10646.46/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 10646.46

10646.46/x=100/6.99
(10646.46/x)*x=(100/6.99)*x       - we multiply both sides of the equation by x
10646.46=14.306151645207*x       - we divide both sides of the equation by (14.306151645207) to get x
10646.46/14.306151645207=x
744.187554=x
x=744.187554

now we have:
6.99% of 10646.46=744.187554