21.55 is what percent of 74.48 - 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 74.48 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 74.48, so we can write it down as 100%=74.48.
4. We know, that x% equals 21.55 of the output value, so we can write it down as x%=21.55.
5. Now we have two simple equations:
1) 100%=74.48
2) x%=21.55
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%=74.48/21.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.55 is what percent of 74.48

100%/x%=74.48/21.55
(100/x)*x=(74.48/21.55)*x       - we multiply both sides of the equation by x
100=3.4561484918794*x       - we divide both sides of the equation by (3.4561484918794) to get x
100/3.4561484918794=x
28.933941997852=x
x=28.933941997852

now we have:
21.55 is 28.933941997852% of 74.48