42.6 is what percent of 23.1 - 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 23.1 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 23.1, so we can write it down as 100%=23.1.
4. We know, that x% equals 42.6 of the output value, so we can write it down as x%=42.6.
5. Now we have two simple equations:
1) 100%=23.1
2) x%=42.6
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%=23.1/42.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.6 is what percent of 23.1

100%/x%=23.1/42.6
(100/x)*x=(23.1/42.6)*x       - we multiply both sides of the equation by x
100=0.54225352112676*x       - we divide both sides of the equation by (0.54225352112676) to get x
100/0.54225352112676=x
184.41558441558=x
x=184.41558441558

now we have:
42.6 is 184.41558441558% of 23.1