What is 5.2 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 646 is 100%, so we can write it down as 646=100%.
4. We know, that x is 5.2% of the output value, so we can write it down as x=5.2%.
5. Now we have two simple equations:
1) 646=100%
2) x=5.2%
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:
646/x=100%/5.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 5.2% of 646

646/x=100/5.2
(646/x)*x=(100/5.2)*x       - we multiply both sides of the equation by x
646=19.230769230769*x       - we divide both sides of the equation by (19.230769230769) to get x
646/19.230769230769=x
33.592=x
x=33.592

now we have:
5.2% of 646=33.592