72.37 is what percent of 103.49 - 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 103.49 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 103.49, so we can write it down as 100%=103.49.
4. We know, that x% equals 72.37 of the output value, so we can write it down as x%=72.37.
5. Now we have two simple equations:
1) 100%=103.49
2) x%=72.37
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%=103.49/72.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.37 is what percent of 103.49

100%/x%=103.49/72.37
(100/x)*x=(103.49/72.37)*x       - we multiply both sides of the equation by x
100=1.4300124360923*x       - we divide both sides of the equation by (1.4300124360923) to get x
100/1.4300124360923=x
69.929461783747=x
x=69.929461783747

now we have:
72.37 is 69.929461783747% of 103.49