338.38 is what percent of 1712.74 - 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 1712.74 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 1712.74, so we can write it down as 100%=1712.74.
4. We know, that x% equals 338.38 of the output value, so we can write it down as x%=338.38.
5. Now we have two simple equations:
1) 100%=1712.74
2) x%=338.38
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%=1712.74/338.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.38 is what percent of 1712.74

100%/x%=1712.74/338.38
(100/x)*x=(1712.74/338.38)*x       - we multiply both sides of the equation by x
100=5.0615875642768*x       - we divide both sides of the equation by (5.0615875642768) to get x
100/5.0615875642768=x
19.756647243598=x
x=19.756647243598

now we have:
338.38 is 19.756647243598% of 1712.74