2.91 is what percent of 95 - 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 95 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 95, so we can write it down as 100%=95.
4. We know, that x% equals 2.91 of the output value, so we can write it down as x%=2.91.
5. Now we have two simple equations:
1) 100%=95
2) x%=2.91
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%=95/2.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.91 is what percent of 95

100%/x%=95/2.91
(100/x)*x=(95/2.91)*x       - we multiply both sides of the equation by x
100=32.64604811*x       - we divide both sides of the equation by (32.64604811) to get x
100/32.64604811=x
3.06315789474=x
x=3.06315789474

now we have:
2.91 is 3.06315789474% of 95