2.02 is what percent of 3.09 - 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 3.09 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 3.09, so we can write it down as 100%=3.09.
4. We know, that x% equals 2.02 of the output value, so we can write it down as x%=2.02.
5. Now we have two simple equations:
1) 100%=3.09
2) x%=2.02
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%=3.09/2.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.02 is what percent of 3.09

100%/x%=3.09/2.02
(100/x)*x=(3.09/2.02)*x       - we multiply both sides of the equation by x
100=1.529702970297*x       - we divide both sides of the equation by (1.529702970297) to get x
100/1.529702970297=x
65.37216828479=x
x=65.37216828479

now we have:
2.02 is 65.37216828479% of 3.09