882.75 is what percent of 13375 - 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 13375 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 13375, so we can write it down as 100%=13375.
4. We know, that x% equals 882.75 of the output value, so we can write it down as x%=882.75.
5. Now we have two simple equations:
1) 100%=13375
2) x%=882.75
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%=13375/882.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 882.75 is what percent of 13375

100%/x%=13375/882.75
(100/x)*x=(13375/882.75)*x       - we multiply both sides of the equation by x
100=15.151515151515*x       - we divide both sides of the equation by (15.151515151515) to get x
100/15.151515151515=x
6.6=x
x=6.6

now we have:
882.75 is 6.6% of 13375