109.99 is what percent of 134.99 - 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 134.99 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 134.99, so we can write it down as 100%=134.99.
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%=134.99
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%=134.99/109.99
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 134.99

100%/x%=134.99/109.99
(100/x)*x=(134.99/109.99)*x       - we multiply both sides of the equation by x
100=1.2272933903082*x       - we divide both sides of the equation by (1.2272933903082) to get x
100/1.2272933903082=x
81.480109637751=x
x=81.480109637751

now we have:
109.99 is 81.480109637751% of 134.99