50000 is what percent of 5.0E+23 - 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 5.0E+23 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 5.0E+23, so we can write it down as 100%=5.0E+23.
4. We know, that x% equals 50000 of the output value, so we can write it down as x%=50000.
5. Now we have two simple equations:
1) 100%=5.0E+23
2) x%=50000
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%=5.0E+23/50000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50000 is what percent of 5.0E+23

100%/x%=5.0E+23/50000
(100/x)*x=(5.0E+23/50000)*x       - we multiply both sides of the equation by x
100=1.0E+19*x       - we divide both sides of the equation by (1.0E+19) to get x
100/1.0E+19=x
1.0E-17=x
x=1.0E-17

now we have:
50000 is 1.0E-17% of 5.0E+23