What is 1582 percent of 2400 - 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 2400 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 2400 is 100%, so we can write it down as 2400=100%.
4. We know, that x is 1582% of the output value, so we can write it down as x=1582%.
5. Now we have two simple equations:
1) 2400=100%
2) x=1582%
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:
2400/x=100%/1582%
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 1582% of 2400

2400/x=100/1582
(2400/x)*x=(100/1582)*x       - we multiply both sides of the equation by x
2400=0.063211125158028*x       - we divide both sides of the equation by (0.063211125158028) to get x
2400/0.063211125158028=x
37968=x
x=37968

now we have:
1582% of 2400=37968