95 is what percent of 105.5 - 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 105.5 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 105.5, so we can write it down as 100%=105.5.
4. We know, that x% equals 95 of the output value, so we can write it down as x%=95.
5. Now we have two simple equations:
1) 100%=105.5
2) x%=95
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%=105.5/95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95 is what percent of 105.5

100%/x%=105.5/95
(100/x)*x=(105.5/95)*x       - we multiply both sides of the equation by x
100=1.1105263157895*x       - we divide both sides of the equation by (1.1105263157895) to get x
100/1.1105263157895=x
90.047393364929=x
x=90.047393364929

now we have:
95 is 90.047393364929% of 105.5