32 is what percent of 647 - 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 647 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 647, so we can write it down as 100%=647.
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=647
2) x%=32
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%=647/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 647

100%/x%=647/32
(100/x)*x=(647/32)*x       - we multiply both sides of the equation by x
100=20.21875*x       - we divide both sides of the equation by (20.21875) to get x
100/20.21875=x
4.9459041731066=x
x=4.9459041731066

now we have:
32 is 4.9459041731066% of 647