3.57 is what percent of 31.57 - 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 31.57 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 100% equals 31.57, so we can write it down as 100%=31.57.
4. We know, that x% equals 3.57 of the output value, so we can write it down as x%=3.57.
5. Now we have two simple equations:
1) 100%=31.57
2) x%=3.57
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%=31.57/3.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.57 is what percent of 31.57

100%/x%=31.57/3.57
(100/x)*x=(31.57/3.57)*x       - we multiply both sides of the equation by x
100=8.843137254902*x       - we divide both sides of the equation by (8.843137254902) to get x
100/8.843137254902=x
11.308203991131=x
x=11.308203991131

now we have:
3.57 is 11.308203991131% of 31.57