60 is what percent of 6669.33 - 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 6669.33 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 6669.33, so we can write it down as 100%=6669.33.
4. We know, that x% equals 60 of the output value, so we can write it down as x%=60.
5. Now we have two simple equations:
1) 100%=6669.33
2) x%=60
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%=6669.33/60
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60 is what percent of 6669.33

100%/x%=6669.33/60
(100/x)*x=(6669.33/60)*x       - we multiply both sides of the equation by x
100=111.1555*x       - we divide both sides of the equation by (111.1555) to get x
100/111.1555=x
0.89964059358286=x
x=0.89964059358286

now we have:
60 is 0.89964059358286% of 6669.33