2675.49 is what percent of 4037.88 - 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 4037.88 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 4037.88, so we can write it down as 100%=4037.88.
4. We know, that x% equals 2675.49 of the output value, so we can write it down as x%=2675.49.
5. Now we have two simple equations:
1) 100%=4037.88
2) x%=2675.49
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%=4037.88/2675.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2675.49 is what percent of 4037.88

100%/x%=4037.88/2675.49
(100/x)*x=(4037.88/2675.49)*x       - we multiply both sides of the equation by x
100=1.5092113967909*x       - we divide both sides of the equation by (1.5092113967909) to get x
100/1.5092113967909=x
66.259769978305=x
x=66.259769978305

now we have:
2675.49 is 66.259769978305% of 4037.88