What is 257 percent of 2.55 - 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 2.55 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 2.55 is 100%, so we can write it down as 2.55=100%.
4. We know, that x is 257% of the output value, so we can write it down as x=257%.
5. Now we have two simple equations:
1) 2.55=100%
2) x=257%
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:
2.55/x=100%/257%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 257% of 2.55

2.55/x=100/257
(2.55/x)*x=(100/257)*x       - we multiply both sides of the equation by x
2.55=0.38910505836576*x       - we divide both sides of the equation by (0.38910505836576) to get x
2.55/0.38910505836576=x
6.5535=x
x=6.5535

now we have:
257% of 2.55=6.5535