49 is what percent of 4087 - 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 4087 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 4087, so we can write it down as 100%=4087.
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%=4087
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%=4087/49
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 4087

100%/x%=4087/49
(100/x)*x=(4087/49)*x       - we multiply both sides of the equation by x
100=83.408163265306*x       - we divide both sides of the equation by (83.408163265306) to get x
100/83.408163265306=x
1.1989234157083=x
x=1.1989234157083

now we have:
49 is 1.1989234157083% of 4087