48.42 is what percent of 43.09 - 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 43.09 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 43.09, so we can write it down as 100%=43.09.
4. We know, that x% equals 48.42 of the output value, so we can write it down as x%=48.42.
5. Now we have two simple equations:
1) 100%=43.09
2) x%=48.42
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%=43.09/48.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.42 is what percent of 43.09

100%/x%=43.09/48.42
(100/x)*x=(43.09/48.42)*x       - we multiply both sides of the equation by x
100=0.88992152003304*x       - we divide both sides of the equation by (0.88992152003304) to get x
100/0.88992152003304=x
112.36945927129=x
x=112.36945927129

now we have:
48.42 is 112.36945927129% of 43.09