What is 106.25 percent of 45 - 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 45 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 45 is 100%, so we can write it down as 45=100%.
4. We know, that x is 106.25% of the output value, so we can write it down as x=106.25%.
5. Now we have two simple equations:
1) 45=100%
2) x=106.25%
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:
45/x=100%/106.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 106.25% of 45

45/x=100/106.25
(45/x)*x=(100/106.25)*x       - we multiply both sides of the equation by x
45=0.94117647058824*x       - we divide both sides of the equation by (0.94117647058824) to get x
45/0.94117647058824=x
47.8125=x
x=47.8125

now we have:
106.25% of 45=47.8125