What is 1.967 percent of 1 - 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 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 1 is 100%, so we can write it down as 1=100%.
4. We know, that x is 1.967% of the output value, so we can write it down as x=1.967%.
5. Now we have two simple equations:
1) 1=100%
2) x=1.967%
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:
1/x=100%/1.967%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1.967% of 1

1/x=100/1.967
(1/x)*x=(100/1.967)*x       - we multiply both sides of the equation by x
1=50.838840874428*x       - we divide both sides of the equation by (50.838840874428) to get x
1/50.838840874428=x
0.01967=x
x=0.01967

now we have:
1.967% of 1=0.01967