82 is what percent of 1874 - 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 1874 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 1874, so we can write it down as 100%=1874.
4. We know, that x% equals 82 of the output value, so we can write it down as x%=82.
5. Now we have two simple equations:
1) 100%=1874
2) x%=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%=1874/82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82 is what percent of 1874

100%/x%=1874/82
(100/x)*x=(1874/82)*x       - we multiply both sides of the equation by x
100=22.853658536585*x       - we divide both sides of the equation by (22.853658536585) to get x
100/22.853658536585=x
4.375667022412=x
x=4.375667022412

now we have:
82 is 4.375667022412% of 1874