200000 is what percent of 3.5E+14 - 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 3.5E+14 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 3.5E+14, so we can write it down as 100%=3.5E+14.
4. We know, that x% equals 200000 of the output value, so we can write it down as x%=200000.
5. Now we have two simple equations:
1) 100%=3.5E+14
2) x%=200000
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%=3.5E+14/200000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200000 is what percent of 3.5E+14

100%/x%=3.5E+14/200000
(100/x)*x=(3.5E+14/200000)*x       - we multiply both sides of the equation by x
100=1750000000*x       - we divide both sides of the equation by (1750000000) to get x
100/1750000000=x
5.7142857142857E-8=x
x=5.7142857142857E-8

now we have:
200000 is 5.7142857142857E-8% of 3.5E+14