What is 83.72 percent of 3744 - 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 3744 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 3744 is 100%, so we can write it down as 3744=100%.
4. We know, that x is 83.72% of the output value, so we can write it down as x=83.72%.
5. Now we have two simple equations:
1) 3744=100%
2) x=83.72%
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:
3744/x=100%/83.72%
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 83.72% of 3744

3744/x=100/83.72
(3744/x)*x=(100/83.72)*x       - we multiply both sides of the equation by x
3744=1.1944577161968*x       - we divide both sides of the equation by (1.1944577161968) to get x
3744/1.1944577161968=x
3134.4768=x
x=3134.4768

now we have:
83.72% of 3744=3134.4768