262.51 is what percent of 966 - 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 966 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 966, so we can write it down as 100%=966.
4. We know, that x% equals 262.51 of the output value, so we can write it down as x%=262.51.
5. Now we have two simple equations:
1) 100%=966
2) x%=262.51
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%=966/262.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.51 is what percent of 966

100%/x%=966/262.51
(100/x)*x=(966/262.51)*x       - we multiply both sides of the equation by x
100=3.6798598148642*x       - we divide both sides of the equation by (3.6798598148642) to get x
100/3.6798598148642=x
27.174948240166=x
x=27.174948240166

now we have:
262.51 is 27.174948240166% of 966