3.0E+16 is what percent of 400000001 - 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 400000001 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 400000001, so we can write it down as 100%=400000001.
4. We know, that x% equals 3.0E+16 of the output value, so we can write it down as x%=3.0E+16.
5. Now we have two simple equations:
1) 100%=400000001
2) x%=3.0E+16
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%=400000001/3.0E+16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.0E+16 is what percent of 400000001

100%/x%=400000001/3.0E+16
(100/x)*x=(400000001/3.0E+16)*x       - we multiply both sides of the equation by x
100=1.3333333366667E-8*x       - we divide both sides of the equation by (1.3333333366667E-8) to get x
100/1.3333333366667E-8=x
7499999981.25=x
x=7499999981.25

now we have:
3.0E+16 is 7499999981.25% of 400000001