519.69 is what percent of 59.75 - 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 59.75 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 59.75, so we can write it down as 100%=59.75.
4. We know, that x% equals 519.69 of the output value, so we can write it down as x%=519.69.
5. Now we have two simple equations:
1) 100%=59.75
2) x%=519.69
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%=59.75/519.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 519.69 is what percent of 59.75

100%/x%=59.75/519.69
(100/x)*x=(59.75/519.69)*x       - we multiply both sides of the equation by x
100=0.11497238738479*x       - we divide both sides of the equation by (0.11497238738479) to get x
100/0.11497238738479=x
869.77405857741=x
x=869.77405857741

now we have:
519.69 is 869.77405857741% of 59.75