22.55 is what percent of 48.37 - 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 48.37 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 48.37, so we can write it down as 100%=48.37.
4. We know, that x% equals 22.55 of the output value, so we can write it down as x%=22.55.
5. Now we have two simple equations:
1) 100%=48.37
2) x%=22.55
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%=48.37/22.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.55 is what percent of 48.37

100%/x%=48.37/22.55
(100/x)*x=(48.37/22.55)*x       - we multiply both sides of the equation by x
100=2.1450110864745*x       - we divide both sides of the equation by (2.1450110864745) to get x
100/2.1450110864745=x
46.619805664668=x
x=46.619805664668

now we have:
22.55 is 46.619805664668% of 48.37