49.61 is what percent of 0.35 - 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 0.35 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 0.35, so we can write it down as 100%=0.35.
4. We know, that x% equals 49.61 of the output value, so we can write it down as x%=49.61.
5. Now we have two simple equations:
1) 100%=0.35
2) x%=49.61
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%=0.35/49.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.61 is what percent of 0.35

100%/x%=0.35/49.61
(100/x)*x=(0.35/49.61)*x       - we multiply both sides of the equation by x
100=0.0070550292279782*x       - we divide both sides of the equation by (0.0070550292279782) to get x
100/0.0070550292279782=x
14174.285714286=x
x=14174.285714286

now we have:
49.61 is 14174.285714286% of 0.35