What is 25.3 percent of 41.4 - 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 41.4 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 41.4 is 100%, so we can write it down as 41.4=100%.
4. We know, that x is 25.3% of the output value, so we can write it down as x=25.3%.
5. Now we have two simple equations:
1) 41.4=100%
2) x=25.3%
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:
41.4/x=100%/25.3%
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 25.3% of 41.4

41.4/x=100/25.3
(41.4/x)*x=(100/25.3)*x       - we multiply both sides of the equation by x
41.4=3.9525691699605*x       - we divide both sides of the equation by (3.9525691699605) to get x
41.4/3.9525691699605=x
10.4742=x
x=10.4742

now we have:
25.3% of 41.4=10.4742