165.67 is what percent of 220.89 - 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 220.89 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 220.89, so we can write it down as 100%=220.89.
4. We know, that x% equals 165.67 of the output value, so we can write it down as x%=165.67.
5. Now we have two simple equations:
1) 100%=220.89
2) x%=165.67
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%=220.89/165.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.67 is what percent of 220.89

100%/x%=220.89/165.67
(100/x)*x=(220.89/165.67)*x       - we multiply both sides of the equation by x
100=1.3333132130138*x       - we divide both sides of the equation by (1.3333132130138) to get x
100/1.3333132130138=x
75.001131785051=x
x=75.001131785051

now we have:
165.67 is 75.001131785051% of 220.89