82.38 is what percent of 2333.98 - 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 2333.98 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 2333.98, so we can write it down as 100%=2333.98.
4. We know, that x% equals 82.38 of the output value, so we can write it down as x%=82.38.
5. Now we have two simple equations:
1) 100%=2333.98
2) x%=82.38
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%=2333.98/82.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.38 is what percent of 2333.98

100%/x%=2333.98/82.38
(100/x)*x=(2333.98/82.38)*x       - we multiply both sides of the equation by x
100=28.331876669094*x       - we divide both sides of the equation by (28.331876669094) to get x
100/28.331876669094=x
3.5295932270199=x
x=3.5295932270199

now we have:
82.38 is 3.5295932270199% of 2333.98