19.18 is what percent of 55.96 - 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 55.96 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 55.96, so we can write it down as 100%=55.96.
4. We know, that x% equals 19.18 of the output value, so we can write it down as x%=19.18.
5. Now we have two simple equations:
1) 100%=55.96
2) x%=19.18
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%=55.96/19.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.18 is what percent of 55.96

100%/x%=55.96/19.18
(100/x)*x=(55.96/19.18)*x       - we multiply both sides of the equation by x
100=2.9176225234619*x       - we divide both sides of the equation by (2.9176225234619) to get x
100/2.9176225234619=x
34.274481772695=x
x=34.274481772695

now we have:
19.18 is 34.274481772695% of 55.96