What is 2.57 percent of 1.57 - 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 1.57 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 1.57 is 100%, so we can write it down as 1.57=100%.
4. We know, that x is 2.57% of the output value, so we can write it down as x=2.57%.
5. Now we have two simple equations:
1) 1.57=100%
2) x=2.57%
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:
1.57/x=100%/2.57%
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 2.57% of 1.57

1.57/x=100/2.57
(1.57/x)*x=(100/2.57)*x       - we multiply both sides of the equation by x
1.57=38.910505836576*x       - we divide both sides of the equation by (38.910505836576) to get x
1.57/38.910505836576=x
0.040349=x
x=0.040349

now we have:
2.57% of 1.57=0.040349