1455.28 is what percent of 1502.03 - 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 1502.03 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 1502.03, so we can write it down as 100%=1502.03.
4. We know, that x% equals 1455.28 of the output value, so we can write it down as x%=1455.28.
5. Now we have two simple equations:
1) 100%=1502.03
2) x%=1455.28
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%=1502.03/1455.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1455.28 is what percent of 1502.03

100%/x%=1502.03/1455.28
(100/x)*x=(1502.03/1455.28)*x       - we multiply both sides of the equation by x
100=1.0321244021769*x       - we divide both sides of the equation by (1.0321244021769) to get x
100/1.0321244021769=x
96.887545521727=x
x=96.887545521727

now we have:
1455.28 is 96.887545521727% of 1502.03