4.93 is what percent of 12.3 - 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 12.3 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 12.3, so we can write it down as 100%=12.3.
4. We know, that x% equals 4.93 of the output value, so we can write it down as x%=4.93.
5. Now we have two simple equations:
1) 100%=12.3
2) x%=4.93
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%=12.3/4.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.93 is what percent of 12.3

100%/x%=12.3/4.93
(100/x)*x=(12.3/4.93)*x       - we multiply both sides of the equation by x
100=2.4949290060852*x       - we divide both sides of the equation by (2.4949290060852) to get x
100/2.4949290060852=x
40.081300813008=x
x=40.081300813008

now we have:
4.93 is 40.081300813008% of 12.3