What is 40.7 percent of 383.5 - 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 383.5 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 383.5 is 100%, so we can write it down as 383.5=100%.
4. We know, that x is 40.7% of the output value, so we can write it down as x=40.7%.
5. Now we have two simple equations:
1) 383.5=100%
2) x=40.7%
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:
383.5/x=100%/40.7%
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 40.7% of 383.5

383.5/x=100/40.7
(383.5/x)*x=(100/40.7)*x       - we multiply both sides of the equation by x
383.5=2.4570024570025*x       - we divide both sides of the equation by (2.4570024570025) to get x
383.5/2.4570024570025=x
156.0845=x
x=156.0845

now we have:
40.7% of 383.5=156.0845