What is 72.67 percent of 367.2 - 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 367.2 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 367.2 is 100%, so we can write it down as 367.2=100%.
4. We know, that x is 72.67% of the output value, so we can write it down as x=72.67%.
5. Now we have two simple equations:
1) 367.2=100%
2) x=72.67%
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:
367.2/x=100%/72.67%
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 72.67% of 367.2

367.2/x=100/72.67
(367.2/x)*x=(100/72.67)*x       - we multiply both sides of the equation by x
367.2=1.3760836658869*x       - we divide both sides of the equation by (1.3760836658869) to get x
367.2/1.3760836658869=x
266.84424=x
x=266.84424

now we have:
72.67% of 367.2=266.84424