62 is what percent of 2302 - 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 2302 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 2302, so we can write it down as 100%=2302.
4. We know, that x% equals 62 of the output value, so we can write it down as x%=62.
5. Now we have two simple equations:
1) 100%=2302
2) x%=62
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%=2302/62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62 is what percent of 2302

100%/x%=2302/62
(100/x)*x=(2302/62)*x       - we multiply both sides of the equation by x
100=37.129032258065*x       - we divide both sides of the equation by (37.129032258065) to get x
100/37.129032258065=x
2.6933101650738=x
x=2.6933101650738

now we have:
62 is 2.6933101650738% of 2302