What is 96.86 percent of 6998.77 - 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 6998.77 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 6998.77 is 100%, so we can write it down as 6998.77=100%.
4. We know, that x is 96.86% of the output value, so we can write it down as x=96.86%.
5. Now we have two simple equations:
1) 6998.77=100%
2) x=96.86%
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:
6998.77/x=100%/96.86%
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 96.86% of 6998.77

6998.77/x=100/96.86
(6998.77/x)*x=(100/96.86)*x       - we multiply both sides of the equation by x
6998.77=1.0324179227751*x       - we divide both sides of the equation by (1.0324179227751) to get x
6998.77/1.0324179227751=x
6779.008622=x
x=6779.008622

now we have:
96.86% of 6998.77=6779.008622