4.62 is what percent of 9.3 - 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 9.3 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 9.3, so we can write it down as 100%=9.3.
4. We know, that x% equals 4.62 of the output value, so we can write it down as x%=4.62.
5. Now we have two simple equations:
1) 100%=9.3
2) x%=4.62
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%=9.3/4.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.62 is what percent of 9.3

100%/x%=9.3/4.62
(100/x)*x=(9.3/4.62)*x       - we multiply both sides of the equation by x
100=2.012987012987*x       - we divide both sides of the equation by (2.012987012987) to get x
100/2.012987012987=x
49.677419354839=x
x=49.677419354839

now we have:
4.62 is 49.677419354839% of 9.3