# 1.0E-148 is what percent of 1.0E+101 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1.0E+101 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+101, so we can write it down as 100%=1.0E+101.
4. We know, that x% equals 1.0E-148 of the output value, so we can write it down as x%=1.0E-148.
5. Now we have two simple equations:
1) 100%=1.0E+101
2) x%=1.0E-148
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+101/1.0E-148
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-148 is what percent of 1.0E+101

100%/x%=1.0E+101/1.0E-148
(100/x)*x=(1.0E+101/1.0E-148)*x       - we multiply both sides of the equation by x
100=1.0E+249*x       - we divide both sides of the equation by (1.0E+249) to get x
100/1.0E+249=x
1.0E-247=x
x=1.0E-247

now we have:
1.0E-148 is 1.0E-247% of 1.0E+101