1000.05 is what percent of 60000 - 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 60000 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 60000, so we can write it down as 100%=60000.
4. We know, that x% equals 1000.05 of the output value, so we can write it down as x%=1000.05.
5. Now we have two simple equations:
1) 100%=60000
2) x%=1000.05
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%=60000/1000.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1000.05 is what percent of 60000

100%/x%=60000/1000.05
(100/x)*x=(60000/1000.05)*x       - we multiply both sides of the equation by x
100=59.997000149993*x       - we divide both sides of the equation by (59.997000149993) to get x
100/59.997000149993=x
1.66675=x
x=1.66675

now we have:
1000.05 is 1.66675% of 60000