200000000 is what percent of 2.14E+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 2.14E+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 2.14E+14, so we can write it down as 100%=2.14E+14.
4. We know, that x% equals 200000000 of the output value, so we can write it down as x%=200000000.
5. Now we have two simple equations:
1) 100%=2.14E+14
2) x%=200000000
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%=2.14E+14/200000000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200000000 is what percent of 2.14E+14

100%/x%=2.14E+14/200000000
(100/x)*x=(2.14E+14/200000000)*x       - we multiply both sides of the equation by x
100=1070000*x       - we divide both sides of the equation by (1070000) to get x
100/1070000=x
9.3457943925234E-5=x
x=9.3457943925234E-5

now we have:
200000000 is 9.3457943925234E-5% of 2.14E+14