0.4 is what percent of 4.05 - 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 4.05 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 4.05, so we can write it down as 100%=4.05.
4. We know, that x% equals 0.4 of the output value, so we can write it down as x%=0.4.
5. Now we have two simple equations:
1) 100%=4.05
2) x%=0.4
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%=4.05/0.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.4 is what percent of 4.05

100%/x%=4.05/0.4
(100/x)*x=(4.05/0.4)*x       - we multiply both sides of the equation by x
100=10.125*x       - we divide both sides of the equation by (10.125) to get x
100/10.125=x
9.8765432098765=x
x=9.8765432098765

now we have:
0.4 is 9.8765432098765% of 4.05