11.2 is what percent of 218.2 - 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 218.2 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 218.2, so we can write it down as 100%=218.2.
4. We know, that x% equals 11.2 of the output value, so we can write it down as x%=11.2.
5. Now we have two simple equations:
1) 100%=218.2
2) x%=11.2
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%=218.2/11.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.2 is what percent of 218.2

100%/x%=218.2/11.2
(100/x)*x=(218.2/11.2)*x       - we multiply both sides of the equation by x
100=19.482142857143*x       - we divide both sides of the equation by (19.482142857143) to get x
100/19.482142857143=x
5.1329055912007=x
x=5.1329055912007

now we have:
11.2 is 5.1329055912007% of 218.2