214 is what percent of 1.0E+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 1.0E+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 1.0E+15, so we can write it down as 100%=1.0E+15.
4. We know, that x% equals 214 of the output value, so we can write it down as x%=214.
5. Now we have two simple equations:
1) 100%=1.0E+15
2) x%=214
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%=1.0E+15/214
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 214 is what percent of 1.0E+15

100%/x%=1.0E+15/214
(100/x)*x=(1.0E+15/214)*x       - we multiply both sides of the equation by x
100=4672897196261.7*x       - we divide both sides of the equation by (4672897196261.7) to get x
100/4672897196261.7=x
2.14E-11=x
x=2.14E-11

now we have:
214 is 2.14E-11% of 1.0E+15