37500 is what percent of 1.5E+16 - 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 1.5E+16 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 1.5E+16, so we can write it down as 100%=1.5E+16.
4. We know, that x% equals 37500 of the output value, so we can write it down as x%=37500.
5. Now we have two simple equations:
1) 100%=1.5E+16
2) x%=37500
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%=1.5E+16/37500
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37500 is what percent of 1.5E+16

100%/x%=1.5E+16/37500
(100/x)*x=(1.5E+16/37500)*x       - we multiply both sides of the equation by x
100=400000000000*x       - we divide both sides of the equation by (400000000000) to get x
100/400000000000=x
2.5E-10=x
x=2.5E-10

now we have:
37500 is 2.5E-10% of 1.5E+16