249.4 is what percent of 264.37 - 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 264.37 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 264.37, so we can write it down as 100%=264.37.
4. We know, that x% equals 249.4 of the output value, so we can write it down as x%=249.4.
5. Now we have two simple equations:
1) 100%=264.37
2) x%=249.4
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%=264.37/249.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 249.4 is what percent of 264.37

100%/x%=264.37/249.4
(100/x)*x=(264.37/249.4)*x       - we multiply both sides of the equation by x
100=1.0600240577386*x       - we divide both sides of the equation by (1.0600240577386) to get x
100/1.0600240577386=x
94.337481559935=x
x=94.337481559935

now we have:
249.4 is 94.337481559935% of 264.37