316.33 is what percent of 880.68 - 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 880.68 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 880.68, so we can write it down as 100%=880.68.
4. We know, that x% equals 316.33 of the output value, so we can write it down as x%=316.33.
5. Now we have two simple equations:
1) 100%=880.68
2) x%=316.33
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%=880.68/316.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 316.33 is what percent of 880.68

100%/x%=880.68/316.33
(100/x)*x=(880.68/316.33)*x       - we multiply both sides of the equation by x
100=2.7840546264976*x       - we divide both sides of the equation by (2.7840546264976) to get x
100/2.7840546264976=x
35.918835445338=x
x=35.918835445338

now we have:
316.33 is 35.918835445338% of 880.68