72 is what percent of 1408 - 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 1408 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 1408, so we can write it down as 100%=1408.
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%=1408
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%=1408/72
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 1408

100%/x%=1408/72
(100/x)*x=(1408/72)*x       - we multiply both sides of the equation by x
100=19.555555555556*x       - we divide both sides of the equation by (19.555555555556) to get x
100/19.555555555556=x
5.1136363636364=x
x=5.1136363636364

now we have:
72 is 5.1136363636364% of 1408