5.51 is what percent of 19.93 - 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 19.93 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 19.93, so we can write it down as 100%=19.93.
4. We know, that x% equals 5.51 of the output value, so we can write it down as x%=5.51.
5. Now we have two simple equations:
1) 100%=19.93
2) x%=5.51
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%=19.93/5.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.51 is what percent of 19.93

100%/x%=19.93/5.51
(100/x)*x=(19.93/5.51)*x       - we multiply both sides of the equation by x
100=3.6170598911071*x       - we divide both sides of the equation by (3.6170598911071) to get x
100/3.6170598911071=x
27.646763672855=x
x=27.646763672855

now we have:
5.51 is 27.646763672855% of 19.93