72 is what percent of 418 - 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 418 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 418, so we can write it down as 100%=418.
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%=418
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%=418/72
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 418

100%/x%=418/72
(100/x)*x=(418/72)*x       - we multiply both sides of the equation by x
100=5.8055555555556*x       - we divide both sides of the equation by (5.8055555555556) to get x
100/5.8055555555556=x
17.224880382775=x
x=17.224880382775

now we have:
72 is 17.224880382775% of 418