63.61 is what percent of 253.45 - 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 253.45 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 253.45, so we can write it down as 100%=253.45.
4. We know, that x% equals 63.61 of the output value, so we can write it down as x%=63.61.
5. Now we have two simple equations:
1) 100%=253.45
2) x%=63.61
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%=253.45/63.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.61 is what percent of 253.45

100%/x%=253.45/63.61
(100/x)*x=(253.45/63.61)*x       - we multiply both sides of the equation by x
100=3.9844364093696*x       - we divide both sides of the equation by (3.9844364093696) to get x
100/3.9844364093696=x
25.097652396922=x
x=25.097652396922

now we have:
63.61 is 25.097652396922% of 253.45