1013.24 is what percent of 1253 - 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 1253 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 1253, so we can write it down as 100%=1253.
4. We know, that x% equals 1013.24 of the output value, so we can write it down as x%=1013.24.
5. Now we have two simple equations:
1) 100%=1253
2) x%=1013.24
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%=1253/1013.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1013.24 is what percent of 1253

100%/x%=1253/1013.24
(100/x)*x=(1253/1013.24)*x       - we multiply both sides of the equation by x
100=1.2366270577553*x       - we divide both sides of the equation by (1.2366270577553) to get x
100/1.2366270577553=x
80.865123703113=x
x=80.865123703113

now we have:
1013.24 is 80.865123703113% of 1253