11.62 is what percent of 3.38 - 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 3.38 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 3.38, so we can write it down as 100%=3.38.
4. We know, that x% equals 11.62 of the output value, so we can write it down as x%=11.62.
5. Now we have two simple equations:
1) 100%=3.38
2) x%=11.62
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%=3.38/11.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.62 is what percent of 3.38

100%/x%=3.38/11.62
(100/x)*x=(3.38/11.62)*x       - we multiply both sides of the equation by x
100=0.29087779690189*x       - we divide both sides of the equation by (0.29087779690189) to get x
100/0.29087779690189=x
343.78698224852=x
x=343.78698224852

now we have:
11.62 is 343.78698224852% of 3.38