55 is what percent of 446 - 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 446 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 446, so we can write it down as 100%=446.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=446
2) x%=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%=446/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 446

100%/x%=446/55
(100/x)*x=(446/55)*x       - we multiply both sides of the equation by x
100=8.1090909090909*x       - we divide both sides of the equation by (8.1090909090909) to get x
100/8.1090909090909=x
12.331838565022=x
x=12.331838565022

now we have:
55 is 12.331838565022% of 446