What is 92.25 percent of 1045 - 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 1045 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 1045 is 100%, so we can write it down as 1045=100%.
4. We know, that x is 92.25% of the output value, so we can write it down as x=92.25%.
5. Now we have two simple equations:
1) 1045=100%
2) x=92.25%
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:
1045/x=100%/92.25%
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 92.25% of 1045

1045/x=100/92.25
(1045/x)*x=(100/92.25)*x       - we multiply both sides of the equation by x
1045=1.0840108401084*x       - we divide both sides of the equation by (1.0840108401084) to get x
1045/1.0840108401084=x
964.0125=x
x=964.0125

now we have:
92.25% of 1045=964.0125