49 is what percent of 709 - 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 709 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 709, so we can write it down as 100%=709.
4. We know, that x% equals 49 of the output value, so we can write it down as x%=49.
5. Now we have two simple equations:
1) 100%=709
2) x%=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%=709/49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49 is what percent of 709

100%/x%=709/49
(100/x)*x=(709/49)*x       - we multiply both sides of the equation by x
100=14.469387755102*x       - we divide both sides of the equation by (14.469387755102) to get x
100/14.469387755102=x
6.9111424541608=x
x=6.9111424541608

now we have:
49 is 6.9111424541608% of 709