49.57 is what percent of 1.013 - 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 1.013 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 1.013, so we can write it down as 100%=1.013.
4. We know, that x% equals 49.57 of the output value, so we can write it down as x%=49.57.
5. Now we have two simple equations:
1) 100%=1.013
2) x%=49.57
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%=1.013/49.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.57 is what percent of 1.013

100%/x%=1.013/49.57
(100/x)*x=(1.013/49.57)*x       - we multiply both sides of the equation by x
100=0.02043574742788*x       - we divide both sides of the equation by (0.02043574742788) to get x
100/0.02043574742788=x
4893.385982231=x
x=4893.385982231

now we have:
49.57 is 4893.385982231% of 1.013