What is 6.75 percent of 827.98 - 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 827.98 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 827.98 is 100%, so we can write it down as 827.98=100%.
4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.
5. Now we have two simple equations:
1) 827.98=100%
2) x=6.75%
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:
827.98/x=100%/6.75%
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 6.75% of 827.98

827.98/x=100/6.75
(827.98/x)*x=(100/6.75)*x       - we multiply both sides of the equation by x
827.98=14.814814814815*x       - we divide both sides of the equation by (14.814814814815) to get x
827.98/14.814814814815=x
55.88865=x
x=55.88865

now we have:
6.75% of 827.98=55.88865