49 is what percent of 1270 - 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 1270 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 1270, so we can write it down as 100%=1270.
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%=1270
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%=1270/49
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 1270

100%/x%=1270/49
(100/x)*x=(1270/49)*x       - we multiply both sides of the equation by x
100=25.918367346939*x       - we divide both sides of the equation by (25.918367346939) to get x
100/25.918367346939=x
3.8582677165354=x
x=3.8582677165354

now we have:
49 is 3.8582677165354% of 1270