What is 63.15 percent of 1.667 - 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 1.667 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 1.667 is 100%, so we can write it down as 1.667=100%.
4. We know, that x is 63.15% of the output value, so we can write it down as x=63.15%.
5. Now we have two simple equations:
1) 1.667=100%
2) x=63.15%
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:
1.667/x=100%/63.15%
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 63.15% of 1.667

1.667/x=100/63.15
(1.667/x)*x=(100/63.15)*x       - we multiply both sides of the equation by x
1.667=1.5835312747427*x       - we divide both sides of the equation by (1.5835312747427) to get x
1.667/1.5835312747427=x
1.0527105=x
x=1.0527105

now we have:
63.15% of 1.667=1.0527105