18.02 is what percent of 2.016 - 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 2.016 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 2.016, so we can write it down as 100%=2.016.
4. We know, that x% equals 18.02 of the output value, so we can write it down as x%=18.02.
5. Now we have two simple equations:
1) 100%=2.016
2) x%=18.02
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%=2.016/18.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.02 is what percent of 2.016

100%/x%=2.016/18.02
(100/x)*x=(2.016/18.02)*x       - we multiply both sides of the equation by x
100=0.1118756936737*x       - we divide both sides of the equation by (0.1118756936737) to get x
100/0.1118756936737=x
893.84920634921=x
x=893.84920634921

now we have:
18.02 is 893.84920634921% of 2.016