11.4 is what percent of 37.96 - 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 37.96 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 37.96, so we can write it down as 100%=37.96.
4. We know, that x% equals 11.4 of the output value, so we can write it down as x%=11.4.
5. Now we have two simple equations:
1) 100%=37.96
2) x%=11.4
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%=37.96/11.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.4 is what percent of 37.96

100%/x%=37.96/11.4
(100/x)*x=(37.96/11.4)*x       - we multiply both sides of the equation by x
100=3.3298245614035*x       - we divide both sides of the equation by (3.3298245614035) to get x
100/3.3298245614035=x
30.031612223393=x
x=30.031612223393

now we have:
11.4 is 30.031612223393% of 37.96