266.67 is what percent of 365.23 - 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 365.23 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 365.23, so we can write it down as 100%=365.23.
4. We know, that x% equals 266.67 of the output value, so we can write it down as x%=266.67.
5. Now we have two simple equations:
1) 100%=365.23
2) x%=266.67
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%=365.23/266.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 266.67 is what percent of 365.23

100%/x%=365.23/266.67
(100/x)*x=(365.23/266.67)*x       - we multiply both sides of the equation by x
100=1.3695953800577*x       - we divide both sides of the equation by (1.3695953800577) to get x
100/1.3695953800577=x
73.014264983709=x
x=73.014264983709

now we have:
266.67 is 73.014264983709% of 365.23