What is 1078 percent of 820 - 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 820 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 820 is 100%, so we can write it down as 820=100%.
4. We know, that x is 1078% of the output value, so we can write it down as x=1078%.
5. Now we have two simple equations:
1) 820=100%
2) x=1078%
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:
820/x=100%/1078%
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 1078% of 820

820/x=100/1078
(820/x)*x=(100/1078)*x       - we multiply both sides of the equation by x
820=0.092764378478664*x       - we divide both sides of the equation by (0.092764378478664) to get x
820/0.092764378478664=x
8839.6=x
x=8839.6

now we have:
1078% of 820=8839.6