452.5 is what percent of 1284 - 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 1284 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 1284, so we can write it down as 100%=1284.
4. We know, that x% equals 452.5 of the output value, so we can write it down as x%=452.5.
5. Now we have two simple equations:
1) 100%=1284
2) x%=452.5
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%=1284/452.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 452.5 is what percent of 1284

100%/x%=1284/452.5
(100/x)*x=(1284/452.5)*x       - we multiply both sides of the equation by x
100=2.8375690607735*x       - we divide both sides of the equation by (2.8375690607735) to get x
100/2.8375690607735=x
35.241433021807=x
x=35.241433021807

now we have:
452.5 is 35.241433021807% of 1284