113.3 is what percent of 485.3 - 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 485.3 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 485.3, so we can write it down as 100%=485.3.
4. We know, that x% equals 113.3 of the output value, so we can write it down as x%=113.3.
5. Now we have two simple equations:
1) 100%=485.3
2) x%=113.3
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%=485.3/113.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.3 is what percent of 485.3

100%/x%=485.3/113.3
(100/x)*x=(485.3/113.3)*x       - we multiply both sides of the equation by x
100=4.2833186231244*x       - we divide both sides of the equation by (4.2833186231244) to get x
100/4.2833186231244=x
23.346383680198=x
x=23.346383680198

now we have:
113.3 is 23.346383680198% of 485.3