11.25 is what percent of 16.67 - 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 16.67 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 16.67, so we can write it down as 100%=16.67.
4. We know, that x% equals 11.25 of the output value, so we can write it down as x%=11.25.
5. Now we have two simple equations:
1) 100%=16.67
2) x%=11.25
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%=16.67/11.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.25 is what percent of 16.67

100%/x%=16.67/11.25
(100/x)*x=(16.67/11.25)*x       - we multiply both sides of the equation by x
100=1.4817777777778*x       - we divide both sides of the equation by (1.4817777777778) to get x
100/1.4817777777778=x
67.48650269946=x
x=67.48650269946

now we have:
11.25 is 67.48650269946% of 16.67