1.0111E+27 is what percent of 1.0E+20 - 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+20 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 1.0E+20, so we can write it down as 100%=1.0E+20.
4. We know, that x% equals 1.0111E+27 of the output value, so we can write it down as x%=1.0111E+27.
5. Now we have two simple equations:
1) 100%=1.0E+20
2) x%=1.0111E+27
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%=1.0E+20/1.0111E+27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.0111E+27 is what percent of 1.0E+20

100%/x%=1.0E+20/1.0111E+27
(100/x)*x=(1.0E+20/1.0111E+27)*x       - we multiply both sides of the equation by x
100=9.8902185738305E-8*x       - we divide both sides of the equation by (9.8902185738305E-8) to get x
100/9.8902185738305E-8=x
1011100000=x
x=1011100000

now we have:
1.0111E+27 is 1011100000% of 1.0E+20