511.8 is what percent of 0.03 - 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 0.03 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 0.03, so we can write it down as 100%=0.03.
4. We know, that x% equals 511.8 of the output value, so we can write it down as x%=511.8.
5. Now we have two simple equations:
1) 100%=0.03
2) x%=511.8
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%=0.03/511.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 511.8 is what percent of 0.03

100%/x%=0.03/511.8
(100/x)*x=(0.03/511.8)*x       - we multiply both sides of the equation by x
100=5.8616647127784E-5*x       - we divide both sides of the equation by (5.8616647127784E-5) to get x
100/5.8616647127784E-5=x
1706000=x
x=1706000

now we have:
511.8 is 1706000% of 0.03