What is 84.5 percent of 1140 - 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 1140 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 1140 is 100%, so we can write it down as 1140=100%.
4. We know, that x is 84.5% of the output value, so we can write it down as x=84.5%.
5. Now we have two simple equations:
1) 1140=100%
2) x=84.5%
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:
1140/x=100%/84.5%
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 84.5% of 1140

1140/x=100/84.5
(1140/x)*x=(100/84.5)*x       - we multiply both sides of the equation by x
1140=1.1834319526627*x       - we divide both sides of the equation by (1.1834319526627) to get x
1140/1.1834319526627=x
963.3=x
x=963.3

now we have:
84.5% of 1140=963.3