What is 2.57 percent of 157.5 - 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 157.5 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 157.5 is 100%, so we can write it down as 157.5=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) 157.5=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:
157.5/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 157.5

157.5/x=100/2.57
(157.5/x)*x=(100/2.57)*x       - we multiply both sides of the equation by x
157.5=38.910505836576*x       - we divide both sides of the equation by (38.910505836576) to get x
157.5/38.910505836576=x
4.04775=x
x=4.04775

now we have:
2.57% of 157.5=4.04775