500000 is what percent of 7.8E+15 - 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 7.8E+15 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 7.8E+15, so we can write it down as 100%=7.8E+15.
4. We know, that x% equals 500000 of the output value, so we can write it down as x%=500000.
5. Now we have two simple equations:
1) 100%=7.8E+15
2) x%=500000
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%=7.8E+15/500000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 500000 is what percent of 7.8E+15

100%/x%=7.8E+15/500000
(100/x)*x=(7.8E+15/500000)*x       - we multiply both sides of the equation by x
100=15600000000*x       - we divide both sides of the equation by (15600000000) to get x
100/15600000000=x
6.4102564102564E-9=x
x=6.4102564102564E-9

now we have:
500000 is 6.4102564102564E-9% of 7.8E+15