What is 6.5 percent of 999.95 - 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 999.95 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 999.95 is 100%, so we can write it down as 999.95=100%.
4. We know, that x is 6.5% of the output value, so we can write it down as x=6.5%.
5. Now we have two simple equations:
1) 999.95=100%
2) x=6.5%
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:
999.95/x=100%/6.5%
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 6.5% of 999.95

999.95/x=100/6.5
(999.95/x)*x=(100/6.5)*x       - we multiply both sides of the equation by x
999.95=15.384615384615*x       - we divide both sides of the equation by (15.384615384615) to get x
999.95/15.384615384615=x
64.99675=x
x=64.99675

now we have:
6.5% of 999.95=64.99675