27673.89 is what percent of 72889.8 - 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 72889.8 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 72889.8, so we can write it down as 100%=72889.8.
4. We know, that x% equals 27673.89 of the output value, so we can write it down as x%=27673.89.
5. Now we have two simple equations:
1) 100%=72889.8
2) x%=27673.89
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%=72889.8/27673.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27673.89 is what percent of 72889.8

100%/x%=72889.8/27673.89
(100/x)*x=(72889.8/27673.89)*x       - we multiply both sides of the equation by x
100=2.6338834186303*x       - we divide both sides of the equation by (2.6338834186303) to get x
100/2.6338834186303=x
37.966752549739=x
x=37.966752549739

now we have:
27673.89 is 37.966752549739% of 72889.8