211.03 is what percent of 1.103 - 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 1.103 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 1.103, so we can write it down as 100%=1.103.
4. We know, that x% equals 211.03 of the output value, so we can write it down as x%=211.03.
5. Now we have two simple equations:
1) 100%=1.103
2) x%=211.03
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%=1.103/211.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 211.03 is what percent of 1.103

100%/x%=1.103/211.03
(100/x)*x=(1.103/211.03)*x       - we multiply both sides of the equation by x
100=0.0052267450125575*x       - we divide both sides of the equation by (0.0052267450125575) to get x
100/0.0052267450125575=x
19132.366273799=x
x=19132.366273799

now we have:
211.03 is 19132.366273799% of 1.103