0.48 is what percent of 420.3 - 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 420.3 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 420.3, so we can write it down as 100%=420.3.
4. We know, that x% equals 0.48 of the output value, so we can write it down as x%=0.48.
5. Now we have two simple equations:
1) 100%=420.3
2) x%=0.48
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%=420.3/0.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.48 is what percent of 420.3

100%/x%=420.3/0.48
(100/x)*x=(420.3/0.48)*x       - we multiply both sides of the equation by x
100=875.625*x       - we divide both sides of the equation by (875.625) to get x
100/875.625=x
0.11420413990007=x
x=0.11420413990007

now we have:
0.48 is 0.11420413990007% of 420.3