What is 0.69 percent of 46.405 - 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 46.405 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 46.405 is 100%, so we can write it down as 46.405=100%.
4. We know, that x is 0.69% of the output value, so we can write it down as x=0.69%.
5. Now we have two simple equations:
1) 46.405=100%
2) x=0.69%
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:
46.405/x=100%/0.69%
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 0.69% of 46.405

46.405/x=100/0.69
(46.405/x)*x=(100/0.69)*x       - we multiply both sides of the equation by x
46.405=144.92753623188*x       - we divide both sides of the equation by (144.92753623188) to get x
46.405/144.92753623188=x
0.3201945=x
x=0.3201945

now we have:
0.69% of 46.405=0.3201945