97.5 is what percent of 13.104 - 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 13.104 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 13.104, so we can write it down as 100%=13.104.
4. We know, that x% equals 97.5 of the output value, so we can write it down as x%=97.5.
5. Now we have two simple equations:
1) 100%=13.104
2) x%=97.5
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%=13.104/97.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.5 is what percent of 13.104

100%/x%=13.104/97.5
(100/x)*x=(13.104/97.5)*x       - we multiply both sides of the equation by x
100=0.1344*x       - we divide both sides of the equation by (0.1344) to get x
100/0.1344=x
744.04761904762=x
x=744.04761904762

now we have:
97.5 is 744.04761904762% of 13.104