What is 7780 percent of 6.99 - 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 6.99 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 6.99 is 100%, so we can write it down as 6.99=100%.
4. We know, that x is 7780% of the output value, so we can write it down as x=7780%.
5. Now we have two simple equations:
1) 6.99=100%
2) x=7780%
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:
6.99/x=100%/7780%
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 7780% of 6.99

6.99/x=100/7780
(6.99/x)*x=(100/7780)*x       - we multiply both sides of the equation by x
6.99=0.012853470437018*x       - we divide both sides of the equation by (0.012853470437018) to get x
6.99/0.012853470437018=x
543.822=x
x=543.822

now we have:
7780% of 6.99=543.822