2499.99 is what percent of 3699.99 - 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 3699.99 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 3699.99, so we can write it down as 100%=3699.99.
4. We know, that x% equals 2499.99 of the output value, so we can write it down as x%=2499.99.
5. Now we have two simple equations:
1) 100%=3699.99
2) x%=2499.99
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%=3699.99/2499.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2499.99 is what percent of 3699.99

100%/x%=3699.99/2499.99
(100/x)*x=(3699.99/2499.99)*x       - we multiply both sides of the equation by x
100=1.4800019200077*x       - we divide both sides of the equation by (1.4800019200077) to get x
100/1.4800019200077=x
67.567479912108=x
x=67.567479912108

now we have:
2499.99 is 67.567479912108% of 3699.99