100.45 is what percent of 105 - 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 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, so we can write it down as 100%=105.
4. We know, that x% equals 100.45 of the output value, so we can write it down as x%=100.45.
5. Now we have two simple equations:
1) 100%=105
2) x%=100.45
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%=105/100.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.45 is what percent of 105

100%/x%=105/100.45
(100/x)*x=(105/100.45)*x       - we multiply both sides of the equation by x
100=1.0452961672474*x       - we divide both sides of the equation by (1.0452961672474) to get x
100/1.0452961672474=x
95.666666666667=x
x=95.666666666667

now we have:
100.45 is 95.666666666667% of 105