2.5 is what percent of 1.0E+305 - 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+305 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+305, so we can write it down as 100%=1.0E+305.
4. We know, that x% equals 2.5 of the output value, so we can write it down as x%=2.5.
5. Now we have two simple equations:
1) 100%=1.0E+305
2) x%=2.5
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+305/2.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.5 is what percent of 1.0E+305

100%/x%=1.0E+305/2.5
(100/x)*x=(1.0E+305/2.5)*x       - we multiply both sides of the equation by x
100=4.0E+304*x       - we divide both sides of the equation by (4.0E+304) to get x
100/4.0E+304=x
2.5E-303=x
x=2.5E-303

now we have:
2.5 is 2.5E-303% of 1.0E+305