49.98 is what percent of 106.99 - 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 106.99 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 106.99, so we can write it down as 100%=106.99.
4. We know, that x% equals 49.98 of the output value, so we can write it down as x%=49.98.
5. Now we have two simple equations:
1) 100%=106.99
2) x%=49.98
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%=106.99/49.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.98 is what percent of 106.99

100%/x%=106.99/49.98
(100/x)*x=(106.99/49.98)*x       - we multiply both sides of the equation by x
100=2.140656262505*x       - we divide both sides of the equation by (2.140656262505) to get x
100/2.140656262505=x
46.714646228619=x
x=46.714646228619

now we have:
49.98 is 46.714646228619% of 106.99