What is 97.2 percent of 772.37 - 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 772.37 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 772.37 is 100%, so we can write it down as 772.37=100%.
4. We know, that x is 97.2% of the output value, so we can write it down as x=97.2%.
5. Now we have two simple equations:
1) 772.37=100%
2) x=97.2%
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:
772.37/x=100%/97.2%
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 97.2% of 772.37

772.37/x=100/97.2
(772.37/x)*x=(100/97.2)*x       - we multiply both sides of the equation by x
772.37=1.0288065843621*x       - we divide both sides of the equation by (1.0288065843621) to get x
772.37/1.0288065843621=x
750.74364=x
x=750.74364

now we have:
97.2% of 772.37=750.74364