What is 450 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 450% of the output value, so we can write it down as x=450%.
5. Now we have two simple equations:
1) 166=100%
2) x=450%
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%/450%
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 450% of 166

166/x=100/450
(166/x)*x=(100/450)*x       - we multiply both sides of the equation by x
166=0.22222222222222*x       - we divide both sides of the equation by (0.22222222222222) to get x
166/0.22222222222222=x
747=x
x=747

now we have:
450% of 166=747