49.49 is what percent of 59.99 - 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 59.99 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 59.99, so we can write it down as 100%=59.99.
4. We know, that x% equals 49.49 of the output value, so we can write it down as x%=49.49.
5. Now we have two simple equations:
1) 100%=59.99
2) x%=49.49
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%=59.99/49.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.49 is what percent of 59.99

100%/x%=59.99/49.49
(100/x)*x=(59.99/49.49)*x       - we multiply both sides of the equation by x
100=1.2121640735502*x       - we divide both sides of the equation by (1.2121640735502) to get x
100/1.2121640735502=x
82.497082847141=x
x=82.497082847141

now we have:
49.49 is 82.497082847141% of 59.99