11.02 is what percent of 165.5 - 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 165.5 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 165.5, so we can write it down as 100%=165.5.
4. We know, that x% equals 11.02 of the output value, so we can write it down as x%=11.02.
5. Now we have two simple equations:
1) 100%=165.5
2) x%=11.02
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%=165.5/11.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.02 is what percent of 165.5

100%/x%=165.5/11.02
(100/x)*x=(165.5/11.02)*x       - we multiply both sides of the equation by x
100=15.018148820327*x       - we divide both sides of the equation by (15.018148820327) to get x
100/15.018148820327=x
6.6586102719033=x
x=6.6586102719033

now we have:
11.02 is 6.6586102719033% of 165.5