93.82 is what percent of 2400 - 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 2400 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 2400, so we can write it down as 100%=2400.
4. We know, that x% equals 93.82 of the output value, so we can write it down as x%=93.82.
5. Now we have two simple equations:
1) 100%=2400
2) x%=93.82
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%=2400/93.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.82 is what percent of 2400

100%/x%=2400/93.82
(100/x)*x=(2400/93.82)*x       - we multiply both sides of the equation by x
100=25.580899594969*x       - we divide both sides of the equation by (25.580899594969) to get x
100/25.580899594969=x
3.9091666666667=x
x=3.9091666666667

now we have:
93.82 is 3.9091666666667% of 2400