What is 823.95 percent of 6.75 - 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 6.75 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 6.75 is 100%, so we can write it down as 6.75=100%.
4. We know, that x is 823.95% of the output value, so we can write it down as x=823.95%.
5. Now we have two simple equations:
1) 6.75=100%
2) x=823.95%
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:
6.75/x=100%/823.95%
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 823.95% of 6.75

6.75/x=100/823.95
(6.75/x)*x=(100/823.95)*x       - we multiply both sides of the equation by x
6.75=0.12136658777838*x       - we divide both sides of the equation by (0.12136658777838) to get x
6.75/0.12136658777838=x
55.616625=x
x=55.616625

now we have:
823.95% of 6.75=55.616625