248.6 is what percent of 3305.01 - 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 3305.01 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 3305.01, so we can write it down as 100%=3305.01.
4. We know, that x% equals 248.6 of the output value, so we can write it down as x%=248.6.
5. Now we have two simple equations:
1) 100%=3305.01
2) x%=248.6
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%=3305.01/248.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.6 is what percent of 3305.01

100%/x%=3305.01/248.6
(100/x)*x=(3305.01/248.6)*x       - we multiply both sides of the equation by x
100=13.294489139179*x       - we divide both sides of the equation by (13.294489139179) to get x
100/13.294489139179=x
7.521913700715=x
x=7.521913700715

now we have:
248.6 is 7.521913700715% of 3305.01