71.93 is what percent of 227.46 - 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 227.46 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 227.46, so we can write it down as 100%=227.46.
4. We know, that x% equals 71.93 of the output value, so we can write it down as x%=71.93.
5. Now we have two simple equations:
1) 100%=227.46
2) x%=71.93
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%=227.46/71.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.93 is what percent of 227.46

100%/x%=227.46/71.93
(100/x)*x=(227.46/71.93)*x       - we multiply both sides of the equation by x
100=3.1622410677047*x       - we divide both sides of the equation by (3.1622410677047) to get x
100/3.1622410677047=x
31.623142530555=x
x=31.623142530555

now we have:
71.93 is 31.623142530555% of 227.46