What is 6.6666666666667E+278 percent of 1.0E+97 - 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 1.0E+97 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 1.0E+97 is 100%, so we can write it down as 1.0E+97=100%.
4. We know, that x is 6.6666666666667E+278% of the output value, so we can write it down as x=6.6666666666667E+278%.
5. Now we have two simple equations:
1) 1.0E+97=100%
2) x=6.6666666666667E+278%
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:
1.0E+97/x=100%/6.6666666666667E+278%
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 6.6666666666667E+278% of 1.0E+97

1.0E+97/x=100/6.6666666666667E+278
(1.0E+97/x)*x=(100/6.6666666666667E+278)*x       - we multiply both sides of the equation by x
1.0E+97=1.5E-277*x       - we divide both sides of the equation by (1.5E-277) to get x
1.0E+97/1.5E-277=x
INF=x
x=INF

now we have:
6.6666666666667E+278% of 1.0E+97=INF