47.47 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 47.47 of the output value, so we can write it down as x%=47.47.
5. Now we have two simple equations:
1) 100%=59.97
2) x%=47.47
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%=59.97/47.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.47 is what percent of 59.97

100%/x%=59.97/47.47
(100/x)*x=(59.97/47.47)*x       - we multiply both sides of the equation by x
100=1.2633242047609*x       - we divide both sides of the equation by (1.2633242047609) to get x
100/1.2633242047609=x
79.156244789061=x
x=79.156244789061

now we have:
47.47 is 79.156244789061% of 59.97