0.03 is what percent of 49000 - 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 49000 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 49000, so we can write it down as 100%=49000.
4. We know, that x% equals 0.03 of the output value, so we can write it down as x%=0.03.
5. Now we have two simple equations:
1) 100%=49000
2) x%=0.03
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%=49000/0.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.03 is what percent of 49000

100%/x%=49000/0.03
(100/x)*x=(49000/0.03)*x       - we multiply both sides of the equation by x
100=1633333.3333333*x       - we divide both sides of the equation by (1633333.3333333) to get x
100/1633333.3333333=x
6.1224489795918E-5=x
x=6.1224489795918E-5

now we have:
0.03 is 6.1224489795918E-5% of 49000