103.7 is what percent of 63.5 - 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 63.5 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 63.5, so we can write it down as 100%=63.5.
4. We know, that x% equals 103.7 of the output value, so we can write it down as x%=103.7.
5. Now we have two simple equations:
1) 100%=63.5
2) x%=103.7
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%=63.5/103.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.7 is what percent of 63.5

100%/x%=63.5/103.7
(100/x)*x=(63.5/103.7)*x       - we multiply both sides of the equation by x
100=0.61234329797493*x       - we divide both sides of the equation by (0.61234329797493) to get x
100/0.61234329797493=x
163.30708661417=x
x=163.30708661417

now we have:
103.7 is 163.30708661417% of 63.5