1.57 is what percent of 40.2 - 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 40.2 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 40.2, so we can write it down as 100%=40.2.
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%=40.2
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%=40.2/1.57
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 40.2

100%/x%=40.2/1.57
(100/x)*x=(40.2/1.57)*x       - we multiply both sides of the equation by x
100=25.605095541401*x       - we divide both sides of the equation by (25.605095541401) to get x
100/25.605095541401=x
3.9054726368159=x
x=3.9054726368159

now we have:
1.57 is 3.9054726368159% of 40.2