3 is what percent of 1.338 - 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 1.338 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 1.338, so we can write it down as 100%=1.338.
4. We know, that x% equals 3 of the output value, so we can write it down as x%=3.
5. Now we have two simple equations:
1) 100%=1.338
2) x%=3
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%=1.338/3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3 is what percent of 1.338

100%/x%=1.338/3
(100/x)*x=(1.338/3)*x       - we multiply both sides of the equation by x
100=0.446*x       - we divide both sides of the equation by (0.446) to get x
100/0.446=x
224.21524663677=x
x=224.21524663677

now we have:
3 is 224.21524663677% of 1.338