2.32 is what percent of 2.855 - 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 2.855 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 2.855, so we can write it down as 100%=2.855.
4. We know, that x% equals 2.32 of the output value, so we can write it down as x%=2.32.
5. Now we have two simple equations:
1) 100%=2.855
2) x%=2.32
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%=2.855/2.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.32 is what percent of 2.855

100%/x%=2.855/2.32
(100/x)*x=(2.855/2.32)*x       - we multiply both sides of the equation by x
100=1.2306034482759*x       - we divide both sides of the equation by (1.2306034482759) to get x
100/1.2306034482759=x
81.260945709282=x
x=81.260945709282

now we have:
2.32 is 81.260945709282% of 2.855