248.26 is what percent of 275.84 - 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 275.84 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 275.84, so we can write it down as 100%=275.84.
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%=275.84
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%=275.84/248.26
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 275.84

100%/x%=275.84/248.26
(100/x)*x=(275.84/248.26)*x       - we multiply both sides of the equation by x
100=1.1110932087328*x       - we divide both sides of the equation by (1.1110932087328) to get x
100/1.1110932087328=x
90.001450116009=x
x=90.001450116009

now we have:
248.26 is 90.001450116009% of 275.84