42.5 is what percent of 48.4 - 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 48.4 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 48.4, so we can write it down as 100%=48.4.
4. We know, that x% equals 42.5 of the output value, so we can write it down as x%=42.5.
5. Now we have two simple equations:
1) 100%=48.4
2) x%=42.5
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%=48.4/42.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.5 is what percent of 48.4

100%/x%=48.4/42.5
(100/x)*x=(48.4/42.5)*x       - we multiply both sides of the equation by x
100=1.1388235294118*x       - we divide both sides of the equation by (1.1388235294118) to get x
100/1.1388235294118=x
87.809917355372=x
x=87.809917355372

now we have:
42.5 is 87.809917355372% of 48.4