6.4 is what percent of 270.8 - 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 270.8 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 270.8, so we can write it down as 100%=270.8.
4. We know, that x% equals 6.4 of the output value, so we can write it down as x%=6.4.
5. Now we have two simple equations:
1) 100%=270.8
2) x%=6.4
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%=270.8/6.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.4 is what percent of 270.8

100%/x%=270.8/6.4
(100/x)*x=(270.8/6.4)*x       - we multiply both sides of the equation by x
100=42.3125*x       - we divide both sides of the equation by (42.3125) to get x
100/42.3125=x
2.3633677991137=x
x=2.3633677991137

now we have:
6.4 is 2.3633677991137% of 270.8