4.2 is what percent of 2454.02 - 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 2454.02 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 2454.02, so we can write it down as 100%=2454.02.
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%=2454.02
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%=2454.02/4.2
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 2454.02

100%/x%=2454.02/4.2
(100/x)*x=(2454.02/4.2)*x       - we multiply both sides of the equation by x
100=584.29047619048*x       - we divide both sides of the equation by (584.29047619048) to get x
100/584.29047619048=x
0.1711477494071=x
x=0.1711477494071

now we have:
4.2 is 0.1711477494071% of 2454.02