248.3 is what percent of 1.163 - 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 1.163 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 1.163, so we can write it down as 100%=1.163.
4. We know, that x% equals 248.3 of the output value, so we can write it down as x%=248.3.
5. Now we have two simple equations:
1) 100%=1.163
2) x%=248.3
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%=1.163/248.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.3 is what percent of 1.163

100%/x%=1.163/248.3
(100/x)*x=(1.163/248.3)*x       - we multiply both sides of the equation by x
100=0.0046838501812324*x       - we divide both sides of the equation by (0.0046838501812324) to get x
100/0.0046838501812324=x
21349.957007739=x
x=21349.957007739

now we have:
248.3 is 21349.957007739% of 1.163