338.9 is what percent of 704 - 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 704 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 704, so we can write it down as 100%=704.
4. We know, that x% equals 338.9 of the output value, so we can write it down as x%=338.9.
5. Now we have two simple equations:
1) 100%=704
2) x%=338.9
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%=704/338.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.9 is what percent of 704

100%/x%=704/338.9
(100/x)*x=(704/338.9)*x       - we multiply both sides of the equation by x
100=2.0773089406905*x       - we divide both sides of the equation by (2.0773089406905) to get x
100/2.0773089406905=x
48.139204545455=x
x=48.139204545455

now we have:
338.9 is 48.139204545455% of 704