55.6 is what percent of 429.5 - 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 429.5 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 429.5, so we can write it down as 100%=429.5.
4. We know, that x% equals 55.6 of the output value, so we can write it down as x%=55.6.
5. Now we have two simple equations:
1) 100%=429.5
2) x%=55.6
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%=429.5/55.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.6 is what percent of 429.5

100%/x%=429.5/55.6
(100/x)*x=(429.5/55.6)*x       - we multiply both sides of the equation by x
100=7.7248201438849*x       - we divide both sides of the equation by (7.7248201438849) to get x
100/7.7248201438849=x
12.945285215367=x
x=12.945285215367

now we have:
55.6 is 12.945285215367% of 429.5