What is 1040 percent of 589 - 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 589 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 589 is 100%, so we can write it down as 589=100%.
4. We know, that x is 1040% of the output value, so we can write it down as x=1040%.
5. Now we have two simple equations:
1) 589=100%
2) x=1040%
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:
589/x=100%/1040%
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 1040% of 589

589/x=100/1040
(589/x)*x=(100/1040)*x       - we multiply both sides of the equation by x
589=0.096153846153846*x       - we divide both sides of the equation by (0.096153846153846) to get x
589/0.096153846153846=x
6125.6=x
x=6125.6

now we have:
1040% of 589=6125.6