63 is what percent of 6005 - 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 6005 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 6005, so we can write it down as 100%=6005.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=6005
2) x%=63
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%=6005/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 6005

100%/x%=6005/63
(100/x)*x=(6005/63)*x       - we multiply both sides of the equation by x
100=95.31746031746*x       - we divide both sides of the equation by (95.31746031746) to get x
100/95.31746031746=x
1.0491257285595=x
x=1.0491257285595

now we have:
63 is 1.0491257285595% of 6005