What is 1157 percent of 689 - 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 689 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 689 is 100%, so we can write it down as 689=100%.
4. We know, that x is 1157% of the output value, so we can write it down as x=1157%.
5. Now we have two simple equations:
1) 689=100%
2) x=1157%
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:
689/x=100%/1157%
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 1157% of 689

689/x=100/1157
(689/x)*x=(100/1157)*x       - we multiply both sides of the equation by x
689=0.086430423509075*x       - we divide both sides of the equation by (0.086430423509075) to get x
689/0.086430423509075=x
7971.73=x
x=7971.73

now we have:
1157% of 689=7971.73