What is 49.37 percent of 72 - 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 72 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 72 is 100%, so we can write it down as 72=100%.
4. We know, that x is 49.37% of the output value, so we can write it down as x=49.37%.
5. Now we have two simple equations:
1) 72=100%
2) x=49.37%
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:
72/x=100%/49.37%
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 49.37% of 72

72/x=100/49.37
(72/x)*x=(100/49.37)*x       - we multiply both sides of the equation by x
72=2.0255215718047*x       - we divide both sides of the equation by (2.0255215718047) to get x
72/2.0255215718047=x
35.5464=x
x=35.5464

now we have:
49.37% of 72=35.5464