69 is what percent of 3658 - 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 3658 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 3658, so we can write it down as 100%=3658.
4. We know, that x% equals 69 of the output value, so we can write it down as x%=69.
5. Now we have two simple equations:
1) 100%=3658
2) x%=69
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%=3658/69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69 is what percent of 3658

100%/x%=3658/69
(100/x)*x=(3658/69)*x       - we multiply both sides of the equation by x
100=53.014492753623*x       - we divide both sides of the equation by (53.014492753623) to get x
100/53.014492753623=x
1.8862766539092=x
x=1.8862766539092

now we have:
69 is 1.8862766539092% of 3658