0.4 is what percent of 149.6 - 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 149.6 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 149.6, so we can write it down as 100%=149.6.
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%=149.6
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%=149.6/0.4
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 149.6

100%/x%=149.6/0.4
(100/x)*x=(149.6/0.4)*x       - we multiply both sides of the equation by x
100=374*x       - we divide both sides of the equation by (374) to get x
100/374=x
0.26737967914439=x
x=0.26737967914439

now we have:
0.4 is 0.26737967914439% of 149.6