96.35 is what percent of 2695.51 - 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 2695.51 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 2695.51, so we can write it down as 100%=2695.51.
4. We know, that x% equals 96.35 of the output value, so we can write it down as x%=96.35.
5. Now we have two simple equations:
1) 100%=2695.51
2) x%=96.35
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%=2695.51/96.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.35 is what percent of 2695.51

100%/x%=2695.51/96.35
(100/x)*x=(2695.51/96.35)*x       - we multiply both sides of the equation by x
100=27.976232485729*x       - we divide both sides of the equation by (27.976232485729) to get x
100/27.976232485729=x
3.5744627176304=x
x=3.5744627176304

now we have:
96.35 is 3.5744627176304% of 2695.51