82.4 is what percent of 342 - 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 342 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 342, so we can write it down as 100%=342.
4. We know, that x% equals 82.4 of the output value, so we can write it down as x%=82.4.
5. Now we have two simple equations:
1) 100%=342
2) x%=82.4
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%=342/82.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.4 is what percent of 342

100%/x%=342/82.4
(100/x)*x=(342/82.4)*x       - we multiply both sides of the equation by x
100=4.1504854368932*x       - we divide both sides of the equation by (4.1504854368932) to get x
100/4.1504854368932=x
24.093567251462=x
x=24.093567251462

now we have:
82.4 is 24.093567251462% of 342