71.39 is what percent of 338.96 - 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 338.96 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 338.96, so we can write it down as 100%=338.96.
4. We know, that x% equals 71.39 of the output value, so we can write it down as x%=71.39.
5. Now we have two simple equations:
1) 100%=338.96
2) x%=71.39
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%=338.96/71.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.39 is what percent of 338.96

100%/x%=338.96/71.39
(100/x)*x=(338.96/71.39)*x       - we multiply both sides of the equation by x
100=4.7480039221179*x       - we divide both sides of the equation by (4.7480039221179) to get x
100/4.7480039221179=x
21.061482180788=x
x=21.061482180788

now we have:
71.39 is 21.061482180788% of 338.96