1.0E+46 is what 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 100% equals 1.0E-97, so we can write it down as 100%=1.0E-97.
4. We know, that x% equals 1.0E+46 of the output value, so we can write it down as x%=1.0E+46.
5. Now we have two simple equations:
1) 100%=1.0E-97
2) x%=1.0E+46
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-97/1.0E+46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.0E+46 is what percent of 1.0E-97

100%/x%=1.0E-97/1.0E+46
(100/x)*x=(1.0E-97/1.0E+46)*x       - we multiply both sides of the equation by x
100=1.0E-143*x       - we divide both sides of the equation by (1.0E-143) to get x
100/1.0E-143=x
1.0E+145=x
x=1.0E+145

now we have:
1.0E+46 is 1.0E+145% of 1.0E-97