72 is what percent of 2396 - 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 2396 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 100% equals 2396, so we can write it down as 100%=2396.
4. We know, that x% equals 72 of the output value, so we can write it down as x%=72.
5. Now we have two simple equations:
1) 100%=2396
2) x%=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:
100%/x%=2396/72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72 is what percent of 2396

100%/x%=2396/72
(100/x)*x=(2396/72)*x       - we multiply both sides of the equation by x
100=33.277777777778*x       - we divide both sides of the equation by (33.277777777778) to get x
100/33.277777777778=x
3.0050083472454=x
x=3.0050083472454

now we have:
72 is 3.0050083472454% of 2396