62 is what percent of 2705 - 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 2705 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 2705, so we can write it down as 100%=2705.
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%=2705
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%=2705/62
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 2705

100%/x%=2705/62
(100/x)*x=(2705/62)*x       - we multiply both sides of the equation by x
100=43.629032258065*x       - we divide both sides of the equation by (43.629032258065) to get x
100/43.629032258065=x
2.2920517560074=x
x=2.2920517560074

now we have:
62 is 2.2920517560074% of 2705