40.69 is what percent of 105.4 - 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 105.4 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 105.4, so we can write it down as 100%=105.4.
4. We know, that x% equals 40.69 of the output value, so we can write it down as x%=40.69.
5. Now we have two simple equations:
1) 100%=105.4
2) x%=40.69
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%=105.4/40.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.69 is what percent of 105.4

100%/x%=105.4/40.69
(100/x)*x=(105.4/40.69)*x       - we multiply both sides of the equation by x
100=2.5903170312116*x       - we divide both sides of the equation by (2.5903170312116) to get x
100/2.5903170312116=x
38.605313092979=x
x=38.605313092979

now we have:
40.69 is 38.605313092979% of 105.4