49 is what percent of 3414 - 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 3414 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 3414, so we can write it down as 100%=3414.
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%=3414
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%=3414/49
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 3414

100%/x%=3414/49
(100/x)*x=(3414/49)*x       - we multiply both sides of the equation by x
100=69.673469387755*x       - we divide both sides of the equation by (69.673469387755) to get x
100/69.673469387755=x
1.4352665495021=x
x=1.4352665495021

now we have:
49 is 1.4352665495021% of 3414