4.6 is what percent of 120.3 - 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 120.3 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 120.3, so we can write it down as 100%=120.3.
4. We know, that x% equals 4.6 of the output value, so we can write it down as x%=4.6.
5. Now we have two simple equations:
1) 100%=120.3
2) x%=4.6
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%=120.3/4.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.6 is what percent of 120.3

100%/x%=120.3/4.6
(100/x)*x=(120.3/4.6)*x       - we multiply both sides of the equation by x
100=26.152173913043*x       - we divide both sides of the equation by (26.152173913043) to get x
100/26.152173913043=x
3.8237738985869=x
x=3.8237738985869

now we have:
4.6 is 3.8237738985869% of 120.3