96.46 is what percent of 376.54 - 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 376.54 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 376.54, so we can write it down as 100%=376.54.
4. We know, that x% equals 96.46 of the output value, so we can write it down as x%=96.46.
5. Now we have two simple equations:
1) 100%=376.54
2) x%=96.46
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%=376.54/96.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.46 is what percent of 376.54

100%/x%=376.54/96.46
(100/x)*x=(376.54/96.46)*x       - we multiply both sides of the equation by x
100=3.9035869790587*x       - we divide both sides of the equation by (3.9035869790587) to get x
100/3.9035869790587=x
25.617464280023=x
x=25.617464280023

now we have:
96.46 is 25.617464280023% of 376.54