What is 1.0E+49 percent of 2.0E+64 - 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 2.0E+64 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 2.0E+64 is 100%, so we can write it down as 2.0E+64=100%.
4. We know, that x is 1.0E+49% of the output value, so we can write it down as x=1.0E+49%.
5. Now we have two simple equations:
1) 2.0E+64=100%
2) x=1.0E+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:
2.0E+64/x=100%/1.0E+49%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1.0E+49% of 2.0E+64

2.0E+64/x=100/1.0E+49
(2.0E+64/x)*x=(100/1.0E+49)*x       - we multiply both sides of the equation by x
2.0E+64=1.0E-47*x       - we divide both sides of the equation by (1.0E-47) to get x
2.0E+64/1.0E-47=x
2.0E+111=x
x=2.0E+111

now we have:
1.0E+49% of 2.0E+64=2.0E+111