25 is what percent of 1.421 - 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 1.421 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 1.421, so we can write it down as 100%=1.421.
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%=1.421
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%=1.421/25
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 1.421

100%/x%=1.421/25
(100/x)*x=(1.421/25)*x       - we multiply both sides of the equation by x
100=0.05684*x       - we divide both sides of the equation by (0.05684) to get x
100/0.05684=x
1759.3244194229=x
x=1759.3244194229

now we have:
25 is 1759.3244194229% of 1.421