887.5 is what percent of 2855 - 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 2855 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 2855, so we can write it down as 100%=2855.
4. We know, that x% equals 887.5 of the output value, so we can write it down as x%=887.5.
5. Now we have two simple equations:
1) 100%=2855
2) x%=887.5
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%=2855/887.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 887.5 is what percent of 2855

100%/x%=2855/887.5
(100/x)*x=(2855/887.5)*x       - we multiply both sides of the equation by x
100=3.2169014084507*x       - we divide both sides of the equation by (3.2169014084507) to get x
100/3.2169014084507=x
31.085814360771=x
x=31.085814360771

now we have:
887.5 is 31.085814360771% of 2855