2.83 is what percent of 3.88 - 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 3.88 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 3.88, so we can write it down as 100%=3.88.
4. We know, that x% equals 2.83 of the output value, so we can write it down as x%=2.83.
5. Now we have two simple equations:
1) 100%=3.88
2) x%=2.83
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%=3.88/2.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.83 is what percent of 3.88

100%/x%=3.88/2.83
(100/x)*x=(3.88/2.83)*x       - we multiply both sides of the equation by x
100=1.3710247349823*x       - we divide both sides of the equation by (1.3710247349823) to get x
100/1.3710247349823=x
72.938144329897=x
x=72.938144329897

now we have:
2.83 is 72.938144329897% of 3.88