113.1 is what percent of 78.54 - 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 78.54 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 78.54, so we can write it down as 100%=78.54.
4. We know, that x% equals 113.1 of the output value, so we can write it down as x%=113.1.
5. Now we have two simple equations:
1) 100%=78.54
2) x%=113.1
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%=78.54/113.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.1 is what percent of 78.54

100%/x%=78.54/113.1
(100/x)*x=(78.54/113.1)*x       - we multiply both sides of the equation by x
100=0.69442970822281*x       - we divide both sides of the equation by (0.69442970822281) to get x
100/0.69442970822281=x
144.00305576776=x
x=144.00305576776

now we have:
113.1 is 144.00305576776% of 78.54