0.02 is what percent of 646 - 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 646 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 646, so we can write it down as 100%=646.
4. We know, that x% equals 0.02 of the output value, so we can write it down as x%=0.02.
5. Now we have two simple equations:
1) 100%=646
2) x%=0.02
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%=646/0.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.02 is what percent of 646

100%/x%=646/0.02
(100/x)*x=(646/0.02)*x       - we multiply both sides of the equation by x
100=32300*x       - we divide both sides of the equation by (32300) to get x
100/32300=x
0.0030959752321981=x
x=0.0030959752321981

now we have:
0.02 is 0.0030959752321981% of 646