What is 46 percent of 166 - 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 166 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 166 is 100%, so we can write it down as 166=100%.
4. We know, that x is 46% of the output value, so we can write it down as x=46%.
5. Now we have two simple equations:
1) 166=100%
2) x=46%
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:
166/x=100%/46%
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 46% of 166

166/x=100/46
(166/x)*x=(100/46)*x       - we multiply both sides of the equation by x
166=2.1739130434783*x       - we divide both sides of the equation by (2.1739130434783) to get x
166/2.1739130434783=x
76.36=x
x=76.36

now we have:
46% of 166=76.36