50.5 is what percent of 55.7 - 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 55.7 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 55.7, so we can write it down as 100%=55.7.
4. We know, that x% equals 50.5 of the output value, so we can write it down as x%=50.5.
5. Now we have two simple equations:
1) 100%=55.7
2) x%=50.5
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%=55.7/50.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.5 is what percent of 55.7

100%/x%=55.7/50.5
(100/x)*x=(55.7/50.5)*x       - we multiply both sides of the equation by x
100=1.1029702970297*x       - we divide both sides of the equation by (1.1029702970297) to get x
100/1.1029702970297=x
90.664272890485=x
x=90.664272890485

now we have:
50.5 is 90.664272890485% of 55.7