2.5 is what percent of 321.442 - 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 321.442 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 321.442, so we can write it down as 100%=321.442.
4. We know, that x% equals 2.5 of the output value, so we can write it down as x%=2.5.
5. Now we have two simple equations:
1) 100%=321.442
2) x%=2.5
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%=321.442/2.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.5 is what percent of 321.442

100%/x%=321.442/2.5
(100/x)*x=(321.442/2.5)*x       - we multiply both sides of the equation by x
100=128.5768*x       - we divide both sides of the equation by (128.5768) to get x
100/128.5768=x
0.77774528530808=x
x=0.77774528530808

now we have:
2.5 is 0.77774528530808% of 321.442