4.2 is what percent of 255.4 - 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 255.4 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 255.4, so we can write it down as 100%=255.4.
4. We know, that x% equals 4.2 of the output value, so we can write it down as x%=4.2.
5. Now we have two simple equations:
1) 100%=255.4
2) x%=4.2
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%=255.4/4.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.2 is what percent of 255.4

100%/x%=255.4/4.2
(100/x)*x=(255.4/4.2)*x       - we multiply both sides of the equation by x
100=60.809523809524*x       - we divide both sides of the equation by (60.809523809524) to get x
100/60.809523809524=x
1.6444792482381=x
x=1.6444792482381

now we have:
4.2 is 1.6444792482381% of 255.4