453.75 is what percent of 492.5 - 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 492.5 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 492.5, so we can write it down as 100%=492.5.
4. We know, that x% equals 453.75 of the output value, so we can write it down as x%=453.75.
5. Now we have two simple equations:
1) 100%=492.5
2) x%=453.75
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%=492.5/453.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 453.75 is what percent of 492.5

100%/x%=492.5/453.75
(100/x)*x=(492.5/453.75)*x       - we multiply both sides of the equation by x
100=1.0853994490358*x       - we divide both sides of the equation by (1.0853994490358) to get x
100/1.0853994490358=x
92.131979695431=x
x=92.131979695431

now we have:
453.75 is 92.131979695431% of 492.5