189.38 is what percent of 220.55 - 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 220.55 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 220.55, so we can write it down as 100%=220.55.
4. We know, that x% equals 189.38 of the output value, so we can write it down as x%=189.38.
5. Now we have two simple equations:
1) 100%=220.55
2) x%=189.38
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%=220.55/189.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 189.38 is what percent of 220.55

100%/x%=220.55/189.38
(100/x)*x=(220.55/189.38)*x       - we multiply both sides of the equation by x
100=1.1645897138029*x       - we divide both sides of the equation by (1.1645897138029) to get x
100/1.1645897138029=x
85.867150306053=x
x=85.867150306053

now we have:
189.38 is 85.867150306053% of 220.55