122.42 is what percent of 267.11 - 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 267.11 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 267.11, so we can write it down as 100%=267.11.
4. We know, that x% equals 122.42 of the output value, so we can write it down as x%=122.42.
5. Now we have two simple equations:
1) 100%=267.11
2) x%=122.42
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%=267.11/122.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.42 is what percent of 267.11

100%/x%=267.11/122.42
(100/x)*x=(267.11/122.42)*x       - we multiply both sides of the equation by x
100=2.181914719817*x       - we divide both sides of the equation by (2.181914719817) to get x
100/2.181914719817=x
45.831305454682=x
x=45.831305454682

now we have:
122.42 is 45.831305454682% of 267.11