242.16 is what percent of 2272.19 - 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 2272.19 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 2272.19, so we can write it down as 100%=2272.19.
4. We know, that x% equals 242.16 of the output value, so we can write it down as x%=242.16.
5. Now we have two simple equations:
1) 100%=2272.19
2) x%=242.16
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%=2272.19/242.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.16 is what percent of 2272.19

100%/x%=2272.19/242.16
(100/x)*x=(2272.19/242.16)*x       - we multiply both sides of the equation by x
100=9.3830112322431*x       - we divide both sides of the equation by (9.3830112322431) to get x
100/9.3830112322431=x
10.657559447053=x
x=10.657559447053

now we have:
242.16 is 10.657559447053% of 2272.19