2.95 is what percent of 3.89 - 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 3.89 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 3.89, so we can write it down as 100%=3.89.
4. We know, that x% equals 2.95 of the output value, so we can write it down as x%=2.95.
5. Now we have two simple equations:
1) 100%=3.89
2) x%=2.95
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%=3.89/2.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.95 is what percent of 3.89

100%/x%=3.89/2.95
(100/x)*x=(3.89/2.95)*x       - we multiply both sides of the equation by x
100=1.3186440677966*x       - we divide both sides of the equation by (1.3186440677966) to get x
100/1.3186440677966=x
75.835475578406=x
x=75.835475578406

now we have:
2.95 is 75.835475578406% of 3.89