72.5 is what percent of 1989 - 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 1989 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 1989, so we can write it down as 100%=1989.
4. We know, that x% equals 72.5 of the output value, so we can write it down as x%=72.5.
5. Now we have two simple equations:
1) 100%=1989
2) x%=72.5
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%=1989/72.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.5 is what percent of 1989

100%/x%=1989/72.5
(100/x)*x=(1989/72.5)*x       - we multiply both sides of the equation by x
100=27.434482758621*x       - we divide both sides of the equation by (27.434482758621) to get x
100/27.434482758621=x
3.6450477626948=x
x=3.6450477626948

now we have:
72.5 is 3.6450477626948% of 1989