82 is what percent of 4600 - 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 4600 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 4600, so we can write it down as 100%=4600.
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%=4600
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%=4600/82
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 4600

100%/x%=4600/82
(100/x)*x=(4600/82)*x       - we multiply both sides of the equation by x
100=56.09756097561*x       - we divide both sides of the equation by (56.09756097561) to get x
100/56.09756097561=x
1.7826086956522=x
x=1.7826086956522

now we have:
82 is 1.7826086956522% of 4600