2707.75 is what percent of 4098.4 - 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 4098.4 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 4098.4, so we can write it down as 100%=4098.4.
4. We know, that x% equals 2707.75 of the output value, so we can write it down as x%=2707.75.
5. Now we have two simple equations:
1) 100%=4098.4
2) x%=2707.75
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%=4098.4/2707.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2707.75 is what percent of 4098.4

100%/x%=4098.4/2707.75
(100/x)*x=(4098.4/2707.75)*x       - we multiply both sides of the equation by x
100=1.5135813867602*x       - we divide both sides of the equation by (1.5135813867602) to get x
100/1.5135813867602=x
66.068465742729=x
x=66.068465742729

now we have:
2707.75 is 66.068465742729% of 4098.4