67 is what percent of 638.48 - 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 638.48 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 638.48, so we can write it down as 100%=638.48.
4. We know, that x% equals 67 of the output value, so we can write it down as x%=67.
5. Now we have two simple equations:
1) 100%=638.48
2) x%=67
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%=638.48/67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67 is what percent of 638.48

100%/x%=638.48/67
(100/x)*x=(638.48/67)*x       - we multiply both sides of the equation by x
100=9.529552238806*x       - we divide both sides of the equation by (9.529552238806) to get x
100/9.529552238806=x
10.493672472121=x
x=10.493672472121

now we have:
67 is 10.493672472121% of 638.48