96.27 is what percent of 103 - 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 103 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 103, so we can write it down as 100%=103.
4. We know, that x% equals 96.27 of the output value, so we can write it down as x%=96.27.
5. Now we have two simple equations:
1) 100%=103
2) x%=96.27
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%=103/96.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.27 is what percent of 103

100%/x%=103/96.27
(100/x)*x=(103/96.27)*x       - we multiply both sides of the equation by x
100=1.0699075516776*x       - we divide both sides of the equation by (1.0699075516776) to get x
100/1.0699075516776=x
93.466019417476=x
x=93.466019417476

now we have:
96.27 is 93.466019417476% of 103