49.78 is what percent of 55.94 - 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 55.94 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 55.94, so we can write it down as 100%=55.94.
4. We know, that x% equals 49.78 of the output value, so we can write it down as x%=49.78.
5. Now we have two simple equations:
1) 100%=55.94
2) x%=49.78
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%=55.94/49.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.78 is what percent of 55.94

100%/x%=55.94/49.78
(100/x)*x=(55.94/49.78)*x       - we multiply both sides of the equation by x
100=1.123744475693*x       - we divide both sides of the equation by (1.123744475693) to get x
100/1.123744475693=x
88.988201644619=x
x=88.988201644619

now we have:
49.78 is 88.988201644619% of 55.94