2.88 is what percent of 5.45 - 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 5.45 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 5.45, so we can write it down as 100%=5.45.
4. We know, that x% equals 2.88 of the output value, so we can write it down as x%=2.88.
5. Now we have two simple equations:
1) 100%=5.45
2) x%=2.88
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%=5.45/2.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.88 is what percent of 5.45

100%/x%=5.45/2.88
(100/x)*x=(5.45/2.88)*x       - we multiply both sides of the equation by x
100=1.8923611111111*x       - we divide both sides of the equation by (1.8923611111111) to get x
100/1.8923611111111=x
52.844036697248=x
x=52.844036697248

now we have:
2.88 is 52.844036697248% of 5.45