20.83 is what percent of 59.87 - 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 59.87 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 59.87, so we can write it down as 100%=59.87.
4. We know, that x% equals 20.83 of the output value, so we can write it down as x%=20.83.
5. Now we have two simple equations:
1) 100%=59.87
2) x%=20.83
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%=59.87/20.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.83 is what percent of 59.87

100%/x%=59.87/20.83
(100/x)*x=(59.87/20.83)*x       - we multiply both sides of the equation by x
100=2.87421987518*x       - we divide both sides of the equation by (2.87421987518) to get x
100/2.87421987518=x
34.792049440454=x
x=34.792049440454

now we have:
20.83 is 34.792049440454% of 59.87