32.06 is what percent of 628 - 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 628 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 628, so we can write it down as 100%=628.
4. We know, that x% equals 32.06 of the output value, so we can write it down as x%=32.06.
5. Now we have two simple equations:
1) 100%=628
2) x%=32.06
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%=628/32.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.06 is what percent of 628

100%/x%=628/32.06
(100/x)*x=(628/32.06)*x       - we multiply both sides of the equation by x
100=19.588271990019*x       - we divide both sides of the equation by (19.588271990019) to get x
100/19.588271990019=x
5.1050955414013=x
x=5.1050955414013

now we have:
32.06 is 5.1050955414013% of 628