0.402 is what percent of 1 - 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 1 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 100% equals 1, so we can write it down as 100%=1.
4. We know, that x% equals 0.402 of the output value, so we can write it down as x%=0.402.
5. Now we have two simple equations:
1) 100%=1
2) x%=0.402
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:
100%/x%=1/0.402
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.402 is what percent of 1

100%/x%=1/0.402
(100/x)*x=(1/0.402)*x       - we multiply both sides of the equation by x
100=2.4875621890547*x       - we divide both sides of the equation by (2.4875621890547) to get x
100/2.4875621890547=x
40.2=x
x=40.2

now we have:
0.402 is 40.2% of 1