53.97 is what percent of 59.97 - 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 59.97 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 59.97, so we can write it down as 100%=59.97.
4. We know, that x% equals 53.97 of the output value, so we can write it down as x%=53.97.
5. Now we have two simple equations:
1) 100%=59.97
2) x%=53.97
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%=59.97/53.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.97 is what percent of 59.97

100%/x%=59.97/53.97
(100/x)*x=(59.97/53.97)*x       - we multiply both sides of the equation by x
100=1.1111728738188*x       - we divide both sides of the equation by (1.1111728738188) to get x
100/1.1111728738188=x
89.994997498749=x
x=89.994997498749

now we have:
53.97 is 89.994997498749% of 59.97