75.75 is what percent of 472.22 - 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 472.22 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 472.22, so we can write it down as 100%=472.22.
4. We know, that x% equals 75.75 of the output value, so we can write it down as x%=75.75.
5. Now we have two simple equations:
1) 100%=472.22
2) x%=75.75
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%=472.22/75.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.75 is what percent of 472.22

100%/x%=472.22/75.75
(100/x)*x=(472.22/75.75)*x       - we multiply both sides of the equation by x
100=6.2339273927393*x       - we divide both sides of the equation by (6.2339273927393) to get x
100/6.2339273927393=x
16.041251958833=x
x=16.041251958833

now we have:
75.75 is 16.041251958833% of 472.22