What is 3743 percent of 748.6 - 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 748.6 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 748.6 is 100%, so we can write it down as 748.6=100%.
4. We know, that x is 3743% of the output value, so we can write it down as x=3743%.
5. Now we have two simple equations:
1) 748.6=100%
2) x=3743%
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:
748.6/x=100%/3743%
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 3743% of 748.6

748.6/x=100/3743
(748.6/x)*x=(100/3743)*x       - we multiply both sides of the equation by x
748.6=0.026716537536735*x       - we divide both sides of the equation by (0.026716537536735) to get x
748.6/0.026716537536735=x
28020.098=x
x=28020.098

now we have:
3743% of 748.6=28020.098