What is 40.2 percent of 402 - 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 402 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 402 is 100%, so we can write it down as 402=100%.
4. We know, that x is 40.2% of the output value, so we can write it down as x=40.2%.
5. Now we have two simple equations:
1) 402=100%
2) x=40.2%
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:
402/x=100%/40.2%
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 40.2% of 402

402/x=100/40.2
(402/x)*x=(100/40.2)*x       - we multiply both sides of the equation by x
402=2.4875621890547*x       - we divide both sides of the equation by (2.4875621890547) to get x
402/2.4875621890547=x
161.604=x
x=161.604

now we have:
40.2% of 402=161.604