What is 40 percent of 75.26 - 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 75.26 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 75.26 is 100%, so we can write it down as 75.26=100%.
4. We know, that x is 40% of the output value, so we can write it down as x=40%.
5. Now we have two simple equations:
1) 75.26=100%
2) x=40%
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:
75.26/x=100%/40%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 40% of 75.26

75.26/x=100/40
(75.26/x)*x=(100/40)*x       - we multiply both sides of the equation by x
75.26=2.5*x       - we divide both sides of the equation by (2.5) to get x
75.26/2.5=x
30.104=x
x=30.104

now we have:
40% of 75.26=30.104