What is 84.09 percent of 1040 - 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 1040 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 1040 is 100%, so we can write it down as 1040=100%.
4. We know, that x is 84.09% of the output value, so we can write it down as x=84.09%.
5. Now we have two simple equations:
1) 1040=100%
2) x=84.09%
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:
1040/x=100%/84.09%
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 84.09% of 1040

1040/x=100/84.09
(1040/x)*x=(100/84.09)*x       - we multiply both sides of the equation by x
1040=1.1892020454275*x       - we divide both sides of the equation by (1.1892020454275) to get x
1040/1.1892020454275=x
874.536=x
x=874.536

now we have:
84.09% of 1040=874.536