49.99 is what percent of 42.49 - 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 42.49 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 42.49, so we can write it down as 100%=42.49.
4. We know, that x% equals 49.99 of the output value, so we can write it down as x%=49.99.
5. Now we have two simple equations:
1) 100%=42.49
2) x%=49.99
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%=42.49/49.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.99 is what percent of 42.49

100%/x%=42.49/49.99
(100/x)*x=(42.49/49.99)*x       - we multiply both sides of the equation by x
100=0.8499699939988*x       - we divide both sides of the equation by (0.8499699939988) to get x
100/0.8499699939988=x
117.65121204989=x
x=117.65121204989

now we have:
49.99 is 117.65121204989% of 42.49