What is 407 percent of 40.5 - 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 40.5 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 40.5 is 100%, so we can write it down as 40.5=100%.
4. We know, that x is 407% of the output value, so we can write it down as x=407%.
5. Now we have two simple equations:
1) 40.5=100%
2) x=407%
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:
40.5/x=100%/407%
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 407% of 40.5

40.5/x=100/407
(40.5/x)*x=(100/407)*x       - we multiply both sides of the equation by x
40.5=0.24570024570025*x       - we divide both sides of the equation by (0.24570024570025) to get x
40.5/0.24570024570025=x
164.835=x
x=164.835

now we have:
407% of 40.5=164.835