102.53 is what percent of 4450 - 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 4450 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 4450, so we can write it down as 100%=4450.
4. We know, that x% equals 102.53 of the output value, so we can write it down as x%=102.53.
5. Now we have two simple equations:
1) 100%=4450
2) x%=102.53
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%=4450/102.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.53 is what percent of 4450

100%/x%=4450/102.53
(100/x)*x=(4450/102.53)*x       - we multiply both sides of the equation by x
100=43.401931142105*x       - we divide both sides of the equation by (43.401931142105) to get x
100/43.401931142105=x
2.3040449438202=x
x=2.3040449438202

now we have:
102.53 is 2.3040449438202% of 4450