11.1 is what percent of 210.1 - 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 210.1 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 210.1, so we can write it down as 100%=210.1.
4. We know, that x% equals 11.1 of the output value, so we can write it down as x%=11.1.
5. Now we have two simple equations:
1) 100%=210.1
2) x%=11.1
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%=210.1/11.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.1 is what percent of 210.1

100%/x%=210.1/11.1
(100/x)*x=(210.1/11.1)*x       - we multiply both sides of the equation by x
100=18.927927927928*x       - we divide both sides of the equation by (18.927927927928) to get x
100/18.927927927928=x
5.2831984769158=x
x=5.2831984769158

now we have:
11.1 is 5.2831984769158% of 210.1