2855 is what percent of 2915 - 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 2915 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 2915, so we can write it down as 100%=2915.
4. We know, that x% equals 2855 of the output value, so we can write it down as x%=2855.
5. Now we have two simple equations:
1) 100%=2915
2) x%=2855
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%=2915/2855
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2855 is what percent of 2915

100%/x%=2915/2855
(100/x)*x=(2915/2855)*x       - we multiply both sides of the equation by x
100=1.0210157618214*x       - we divide both sides of the equation by (1.0210157618214) to get x
100/1.0210157618214=x
97.941680960549=x
x=97.941680960549

now we have:
2855 is 97.941680960549% of 2915