964.5 is what percent of 3481 - 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 3481 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 3481, so we can write it down as 100%=3481.
4. We know, that x% equals 964.5 of the output value, so we can write it down as x%=964.5.
5. Now we have two simple equations:
1) 100%=3481
2) x%=964.5
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%=3481/964.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 964.5 is what percent of 3481

100%/x%=3481/964.5
(100/x)*x=(3481/964.5)*x       - we multiply both sides of the equation by x
100=3.6091238983929*x       - we divide both sides of the equation by (3.6091238983929) to get x
100/3.6091238983929=x
27.707555300201=x
x=27.707555300201

now we have:
964.5 is 27.707555300201% of 3481