0.4 is what percent of 43 - 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 43 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 43, so we can write it down as 100%=43.
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%=43
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%=43/0.4
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 43

100%/x%=43/0.4
(100/x)*x=(43/0.4)*x       - we multiply both sides of the equation by x
100=107.5*x       - we divide both sides of the equation by (107.5) to get x
100/107.5=x
0.93023255813953=x
x=0.93023255813953

now we have:
0.4 is 0.93023255813953% of 43