1 is what percent of 1.618 - 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 1.618 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 1.618, so we can write it down as 100%=1.618.
4. We know, that x% equals 1 of the output value, so we can write it down as x%=1.
5. Now we have two simple equations:
1) 100%=1.618
2) x%=1
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%=1.618/1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1 is what percent of 1.618

100%/x%=1.618/1
(100/x)*x=(1.618/1)*x       - we multiply both sides of the equation by x
100=1.618*x       - we divide both sides of the equation by (1.618) to get x
100/1.618=x
61.804697156984=x
x=61.804697156984

now we have:
1 is 61.804697156984% of 1.618