248.02 is what percent of 2253 - 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 2253 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 2253, so we can write it down as 100%=2253.
4. We know, that x% equals 248.02 of the output value, so we can write it down as x%=248.02.
5. Now we have two simple equations:
1) 100%=2253
2) x%=248.02
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%=2253/248.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.02 is what percent of 2253

100%/x%=2253/248.02
(100/x)*x=(2253/248.02)*x       - we multiply both sides of the equation by x
100=9.0839448431578*x       - we divide both sides of the equation by (9.0839448431578) to get x
100/9.0839448431578=x
11.008433200178=x
x=11.008433200178

now we have:
248.02 is 11.008433200178% of 2253