109.99 is what percent of 299.98 - 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 299.98 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 299.98, so we can write it down as 100%=299.98.
4. We know, that x% equals 109.99 of the output value, so we can write it down as x%=109.99.
5. Now we have two simple equations:
1) 100%=299.98
2) x%=109.99
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%=299.98/109.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.99 is what percent of 299.98

100%/x%=299.98/109.99
(100/x)*x=(299.98/109.99)*x       - we multiply both sides of the equation by x
100=2.7273388489863*x       - we divide both sides of the equation by (2.7273388489863) to get x
100/2.7273388489863=x
36.665777718515=x
x=36.665777718515

now we have:
109.99 is 36.665777718515% of 299.98