0.49 is what percent of 0.039 - 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 0.039 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 0.039, so we can write it down as 100%=0.039.
4. We know, that x% equals 0.49 of the output value, so we can write it down as x%=0.49.
5. Now we have two simple equations:
1) 100%=0.039
2) x%=0.49
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%=0.039/0.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.49 is what percent of 0.039

100%/x%=0.039/0.49
(100/x)*x=(0.039/0.49)*x       - we multiply both sides of the equation by x
100=0.079591836734694*x       - we divide both sides of the equation by (0.079591836734694) to get x
100/0.079591836734694=x
1256.4102564103=x
x=1256.4102564103

now we have:
0.49 is 1256.4102564103% of 0.039