What is 10 percent of 46.6 - 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 46.6 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 46.6 is 100%, so we can write it down as 46.6=100%.
4. We know, that x is 10% of the output value, so we can write it down as x=10%.
5. Now we have two simple equations:
1) 46.6=100%
2) x=10%
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:
46.6/x=100%/10%
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 10% of 46.6

46.6/x=100/10
(46.6/x)*x=(100/10)*x       - we multiply both sides of the equation by x
46.6=10*x       - we divide both sides of the equation by (10) to get x
46.6/10=x
4.66=x
x=4.66

now we have:
10% of 46.6=4.66