62 is what percent of 3758 - 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 3758 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 3758, so we can write it down as 100%=3758.
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%=3758
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%=3758/62
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 3758

100%/x%=3758/62
(100/x)*x=(3758/62)*x       - we multiply both sides of the equation by x
100=60.612903225806*x       - we divide both sides of the equation by (60.612903225806) to get x
100/60.612903225806=x
1.6498137307078=x
x=1.6498137307078

now we have:
62 is 1.6498137307078% of 3758