102.48 is what percent of 173.95 - 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 173.95 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 173.95, so we can write it down as 100%=173.95.
4. We know, that x% equals 102.48 of the output value, so we can write it down as x%=102.48.
5. Now we have two simple equations:
1) 100%=173.95
2) x%=102.48
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%=173.95/102.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.48 is what percent of 173.95

100%/x%=173.95/102.48
(100/x)*x=(173.95/102.48)*x       - we multiply both sides of the equation by x
100=1.6974043715847*x       - we divide both sides of the equation by (1.6974043715847) to get x
100/1.6974043715847=x
58.913480885312=x
x=58.913480885312

now we have:
102.48 is 58.913480885312% of 173.95