93 is what percent of 493.3 - 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 493.3 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 493.3, so we can write it down as 100%=493.3.
4. We know, that x% equals 93 of the output value, so we can write it down as x%=93.
5. Now we have two simple equations:
1) 100%=493.3
2) x%=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%=493.3/93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93 is what percent of 493.3

100%/x%=493.3/93
(100/x)*x=(493.3/93)*x       - we multiply both sides of the equation by x
100=5.3043010752688*x       - we divide both sides of the equation by (5.3043010752688) to get x
100/5.3043010752688=x
18.852625177377=x
x=18.852625177377

now we have:
93 is 18.852625177377% of 493.3