338.43 is what percent of 1660 - 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 1660 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 1660, so we can write it down as 100%=1660.
4. We know, that x% equals 338.43 of the output value, so we can write it down as x%=338.43.
5. Now we have two simple equations:
1) 100%=1660
2) x%=338.43
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%=1660/338.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.43 is what percent of 1660

100%/x%=1660/338.43
(100/x)*x=(1660/338.43)*x       - we multiply both sides of the equation by x
100=4.9050025115977*x       - we divide both sides of the equation by (4.9050025115977) to get x
100/4.9050025115977=x
20.38734939759=x
x=20.38734939759

now we have:
338.43 is 20.38734939759% of 1660