99.95 is what percent of 119.99 - 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 119.99 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 119.99, so we can write it down as 100%=119.99.
4. We know, that x% equals 99.95 of the output value, so we can write it down as x%=99.95.
5. Now we have two simple equations:
1) 100%=119.99
2) x%=99.95
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%=119.99/99.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.95 is what percent of 119.99

100%/x%=119.99/99.95
(100/x)*x=(119.99/99.95)*x       - we multiply both sides of the equation by x
100=1.2005002501251*x       - we divide both sides of the equation by (1.2005002501251) to get x
100/1.2005002501251=x
83.298608217351=x
x=83.298608217351

now we have:
99.95 is 83.298608217351% of 119.99