10000 is what percent of 1.000020003E+17 - 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 1.000020003E+17 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 1.000020003E+17, so we can write it down as 100%=1.000020003E+17.
4. We know, that x% equals 10000 of the output value, so we can write it down as x%=10000.
5. Now we have two simple equations:
1) 100%=1.000020003E+17
2) x%=10000
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%=1.000020003E+17/10000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10000 is what percent of 1.000020003E+17

100%/x%=1.000020003E+17/10000
(100/x)*x=(1.000020003E+17/10000)*x       - we multiply both sides of the equation by x
100=1.000020003E+13*x       - we divide both sides of the equation by (1.000020003E+13) to get x
100/1.000020003E+13=x
9.999799974E-12=x
x=9.999799974E-12

now we have:
10000 is 9.999799974E-12% of 1.000020003E+17