165.9 is what percent of 220 - 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 220 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 220, so we can write it down as 100%=220.
4. We know, that x% equals 165.9 of the output value, so we can write it down as x%=165.9.
5. Now we have two simple equations:
1) 100%=220
2) x%=165.9
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%=220/165.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.9 is what percent of 220

100%/x%=220/165.9
(100/x)*x=(220/165.9)*x       - we multiply both sides of the equation by x
100=1.3261000602773*x       - we divide both sides of the equation by (1.3261000602773) to get x
100/1.3261000602773=x
75.409090909091=x
x=75.409090909091

now we have:
165.9 is 75.409090909091% of 220