1666.67 is what percent of 130000 - 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 130000 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 130000, so we can write it down as 100%=130000.
4. We know, that x% equals 1666.67 of the output value, so we can write it down as x%=1666.67.
5. Now we have two simple equations:
1) 100%=130000
2) x%=1666.67
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%=130000/1666.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1666.67 is what percent of 130000

100%/x%=130000/1666.67
(100/x)*x=(130000/1666.67)*x       - we multiply both sides of the equation by x
100=77.999844000312*x       - we divide both sides of the equation by (77.999844000312) to get x
100/77.999844000312=x
1.2820538461538=x
x=1.2820538461538

now we have:
1666.67 is 1.2820538461538% of 130000