6682.5 is what percent of 270000 - 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 270000 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 270000, so we can write it down as 100%=270000.
4. We know, that x% equals 6682.5 of the output value, so we can write it down as x%=6682.5.
5. Now we have two simple equations:
1) 100%=270000
2) x%=6682.5
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%=270000/6682.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6682.5 is what percent of 270000

100%/x%=270000/6682.5
(100/x)*x=(270000/6682.5)*x       - we multiply both sides of the equation by x
100=40.40404040404*x       - we divide both sides of the equation by (40.40404040404) to get x
100/40.40404040404=x
2.475=x
x=2.475

now we have:
6682.5 is 2.475% of 270000