67.72 is what percent of 1145.83 - 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 1145.83 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 1145.83, so we can write it down as 100%=1145.83.
4. We know, that x% equals 67.72 of the output value, so we can write it down as x%=67.72.
5. Now we have two simple equations:
1) 100%=1145.83
2) x%=67.72
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%=1145.83/67.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.72 is what percent of 1145.83

100%/x%=1145.83/67.72
(100/x)*x=(1145.83/67.72)*x       - we multiply both sides of the equation by x
100=16.920112226816*x       - we divide both sides of the equation by (16.920112226816) to get x
100/16.920112226816=x
5.9101262840037=x
x=5.9101262840037

now we have:
67.72 is 5.9101262840037% of 1145.83