213.8 is what percent of 227 - 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 227 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 227, so we can write it down as 100%=227.
4. We know, that x% equals 213.8 of the output value, so we can write it down as x%=213.8.
5. Now we have two simple equations:
1) 100%=227
2) x%=213.8
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%=227/213.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 213.8 is what percent of 227

100%/x%=227/213.8
(100/x)*x=(227/213.8)*x       - we multiply both sides of the equation by x
100=1.0617399438728*x       - we divide both sides of the equation by (1.0617399438728) to get x
100/1.0617399438728=x
94.185022026432=x
x=94.185022026432

now we have:
213.8 is 94.185022026432% of 227