What is 1150 percent of 821 - 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 821 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 821 is 100%, so we can write it down as 821=100%.
4. We know, that x is 1150% of the output value, so we can write it down as x=1150%.
5. Now we have two simple equations:
1) 821=100%
2) x=1150%
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:
821/x=100%/1150%
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 1150% of 821

821/x=100/1150
(821/x)*x=(100/1150)*x       - we multiply both sides of the equation by x
821=0.08695652173913*x       - we divide both sides of the equation by (0.08695652173913) to get x
821/0.08695652173913=x
9441.5=x
x=9441.5

now we have:
1150% of 821=9441.5