1.57 is what percent of 25.47 - 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 25.47 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 25.47, so we can write it down as 100%=25.47.
4. We know, that x% equals 1.57 of the output value, so we can write it down as x%=1.57.
5. Now we have two simple equations:
1) 100%=25.47
2) x%=1.57
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%=25.47/1.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.57 is what percent of 25.47

100%/x%=25.47/1.57
(100/x)*x=(25.47/1.57)*x       - we multiply both sides of the equation by x
100=16.222929936306*x       - we divide both sides of the equation by (16.222929936306) to get x
100/16.222929936306=x
6.16411464468=x
x=6.16411464468

now we have:
1.57 is 6.16411464468% of 25.47