4.93 is what percent of 30 - 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 30 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 30, so we can write it down as 100%=30.
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%=30
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%=30/4.93
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 30

100%/x%=30/4.93
(100/x)*x=(30/4.93)*x       - we multiply both sides of the equation by x
100=6.0851926977688*x       - we divide both sides of the equation by (6.0851926977688) to get x
100/6.0851926977688=x
16.433333333333=x
x=16.433333333333

now we have:
4.93 is 16.433333333333% of 30