What is 39.96 percent of 699.96 - 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 699.96 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 699.96 is 100%, so we can write it down as 699.96=100%.
4. We know, that x is 39.96% of the output value, so we can write it down as x=39.96%.
5. Now we have two simple equations:
1) 699.96=100%
2) x=39.96%
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:
699.96/x=100%/39.96%
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 39.96% of 699.96

699.96/x=100/39.96
(699.96/x)*x=(100/39.96)*x       - we multiply both sides of the equation by x
699.96=2.5025025025025*x       - we divide both sides of the equation by (2.5025025025025) to get x
699.96/2.5025025025025=x
279.704016=x
x=279.704016

now we have:
39.96% of 699.96=279.704016