5.54 is what percent of 11.376 - 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 11.376 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 11.376, so we can write it down as 100%=11.376.
4. We know, that x% equals 5.54 of the output value, so we can write it down as x%=5.54.
5. Now we have two simple equations:
1) 100%=11.376
2) x%=5.54
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%=11.376/5.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.54 is what percent of 11.376

100%/x%=11.376/5.54
(100/x)*x=(11.376/5.54)*x       - we multiply both sides of the equation by x
100=2.0534296028881*x       - we divide both sides of the equation by (2.0534296028881) to get x
100/2.0534296028881=x
48.699015471167=x
x=48.699015471167

now we have:
5.54 is 48.699015471167% of 11.376