2.55 is what percent of 38.31 - 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 38.31 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 38.31, so we can write it down as 100%=38.31.
4. We know, that x% equals 2.55 of the output value, so we can write it down as x%=2.55.
5. Now we have two simple equations:
1) 100%=38.31
2) x%=2.55
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%=38.31/2.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.55 is what percent of 38.31

100%/x%=38.31/2.55
(100/x)*x=(38.31/2.55)*x       - we multiply both sides of the equation by x
100=15.023529411765*x       - we divide both sides of the equation by (15.023529411765) to get x
100/15.023529411765=x
6.6562255285826=x
x=6.6562255285826

now we have:
2.55 is 6.6562255285826% of 38.31