113.44 is what percent of 507.3 - 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 507.3 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 507.3, so we can write it down as 100%=507.3.
4. We know, that x% equals 113.44 of the output value, so we can write it down as x%=113.44.
5. Now we have two simple equations:
1) 100%=507.3
2) x%=113.44
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%=507.3/113.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.44 is what percent of 507.3

100%/x%=507.3/113.44
(100/x)*x=(507.3/113.44)*x       - we multiply both sides of the equation by x
100=4.4719675599436*x       - we divide both sides of the equation by (4.4719675599436) to get x
100/4.4719675599436=x
22.361521781983=x
x=22.361521781983

now we have:
113.44 is 22.361521781983% of 507.3