25 is what percent of 1408 - 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 1408 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 1408, so we can write it down as 100%=1408.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=1408
2) x%=25
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%=1408/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 1408

100%/x%=1408/25
(100/x)*x=(1408/25)*x       - we multiply both sides of the equation by x
100=56.32*x       - we divide both sides of the equation by (56.32) to get x
100/56.32=x
1.7755681818182=x
x=1.7755681818182

now we have:
25 is 1.7755681818182% of 1408