1999.99 is what percent of 2699.99 - 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 2699.99 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 2699.99, so we can write it down as 100%=2699.99.
4. We know, that x% equals 1999.99 of the output value, so we can write it down as x%=1999.99.
5. Now we have two simple equations:
1) 100%=2699.99
2) x%=1999.99
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%=2699.99/1999.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1999.99 is what percent of 2699.99

100%/x%=2699.99/1999.99
(100/x)*x=(2699.99/1999.99)*x       - we multiply both sides of the equation by x
100=1.3500017500088*x       - we divide both sides of the equation by (1.3500017500088) to get x
100/1.3500017500088=x
74.073978051771=x
x=74.073978051771

now we have:
1999.99 is 74.073978051771% of 2699.99