47 is what percent of 55.1 - 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 55.1 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 55.1, so we can write it down as 100%=55.1.
4. We know, that x% equals 47 of the output value, so we can write it down as x%=47.
5. Now we have two simple equations:
1) 100%=55.1
2) x%=47
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%=55.1/47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47 is what percent of 55.1

100%/x%=55.1/47
(100/x)*x=(55.1/47)*x       - we multiply both sides of the equation by x
100=1.1723404255319*x       - we divide both sides of the equation by (1.1723404255319) to get x
100/1.1723404255319=x
85.29945553539=x
x=85.29945553539

now we have:
47 is 85.29945553539% of 55.1