82 is what percent of 1744 - 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 1744 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 1744, so we can write it down as 100%=1744.
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%=1744
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%=1744/82
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 1744

100%/x%=1744/82
(100/x)*x=(1744/82)*x       - we multiply both sides of the equation by x
100=21.268292682927*x       - we divide both sides of the equation by (21.268292682927) to get x
100/21.268292682927=x
4.7018348623853=x
x=4.7018348623853

now we have:
82 is 4.7018348623853% of 1744