248.38 is what percent of 2964 - 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 2964 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 2964, so we can write it down as 100%=2964.
4. We know, that x% equals 248.38 of the output value, so we can write it down as x%=248.38.
5. Now we have two simple equations:
1) 100%=2964
2) x%=248.38
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%=2964/248.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.38 is what percent of 2964

100%/x%=2964/248.38
(100/x)*x=(2964/248.38)*x       - we multiply both sides of the equation by x
100=11.933327965215*x       - we divide both sides of the equation by (11.933327965215) to get x
100/11.933327965215=x
8.3798920377868=x
x=8.3798920377868

now we have:
248.38 is 8.3798920377868% of 2964