64.75 is what percent of 121.25 - 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 121.25 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 121.25, so we can write it down as 100%=121.25.
4. We know, that x% equals 64.75 of the output value, so we can write it down as x%=64.75.
5. Now we have two simple equations:
1) 100%=121.25
2) x%=64.75
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%=121.25/64.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.75 is what percent of 121.25

100%/x%=121.25/64.75
(100/x)*x=(121.25/64.75)*x       - we multiply both sides of the equation by x
100=1.8725868725869*x       - we divide both sides of the equation by (1.8725868725869) to get x
100/1.8725868725869=x
53.40206185567=x
x=53.40206185567

now we have:
64.75 is 53.40206185567% of 121.25