72.2 is what percent of 431 - 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 431 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 431, so we can write it down as 100%=431.
4. We know, that x% equals 72.2 of the output value, so we can write it down as x%=72.2.
5. Now we have two simple equations:
1) 100%=431
2) x%=72.2
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:
100%/x%=431/72.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.2 is what percent of 431

100%/x%=431/72.2
(100/x)*x=(431/72.2)*x       - we multiply both sides of the equation by x
100=5.9695290858726*x       - we divide both sides of the equation by (5.9695290858726) to get x
100/5.9695290858726=x
16.751740139211=x
x=16.751740139211

now we have:
72.2 is 16.751740139211% of 431