338.41 is what percent of 490 - 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 490 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 490, so we can write it down as 100%=490.
4. We know, that x% equals 338.41 of the output value, so we can write it down as x%=338.41.
5. Now we have two simple equations:
1) 100%=490
2) x%=338.41
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%=490/338.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.41 is what percent of 490

100%/x%=490/338.41
(100/x)*x=(490/338.41)*x       - we multiply both sides of the equation by x
100=1.447947755681*x       - we divide both sides of the equation by (1.447947755681) to get x
100/1.447947755681=x
69.063265306122=x
x=69.063265306122

now we have:
338.41 is 69.063265306122% of 490