226.2 is what percent of 254.8 - 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 254.8 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 254.8, so we can write it down as 100%=254.8.
4. We know, that x% equals 226.2 of the output value, so we can write it down as x%=226.2.
5. Now we have two simple equations:
1) 100%=254.8
2) x%=226.2
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%=254.8/226.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 226.2 is what percent of 254.8

100%/x%=254.8/226.2
(100/x)*x=(254.8/226.2)*x       - we multiply both sides of the equation by x
100=1.1264367816092*x       - we divide both sides of the equation by (1.1264367816092) to get x
100/1.1264367816092=x
88.775510204082=x
x=88.775510204082

now we have:
226.2 is 88.775510204082% of 254.8