5.56 is what percent of 18.76 - 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 18.76 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 18.76, so we can write it down as 100%=18.76.
4. We know, that x% equals 5.56 of the output value, so we can write it down as x%=5.56.
5. Now we have two simple equations:
1) 100%=18.76
2) x%=5.56
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%=18.76/5.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.56 is what percent of 18.76

100%/x%=18.76/5.56
(100/x)*x=(18.76/5.56)*x       - we multiply both sides of the equation by x
100=3.3741007194245*x       - we divide both sides of the equation by (3.3741007194245) to get x
100/3.3741007194245=x
29.637526652452=x
x=29.637526652452

now we have:
5.56 is 29.637526652452% of 18.76