248.26 is what percent of 6667.48 - 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 6667.48 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 6667.48, so we can write it down as 100%=6667.48.
4. We know, that x% equals 248.26 of the output value, so we can write it down as x%=248.26.
5. Now we have two simple equations:
1) 100%=6667.48
2) x%=248.26
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%=6667.48/248.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.26 is what percent of 6667.48

100%/x%=6667.48/248.26
(100/x)*x=(6667.48/248.26)*x       - we multiply both sides of the equation by x
100=26.856843631676*x       - we divide both sides of the equation by (26.856843631676) to get x
100/26.856843631676=x
3.7234457396198=x
x=3.7234457396198

now we have:
248.26 is 3.7234457396198% of 6667.48