342.62 is what percent of 307.2 - 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 307.2 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 307.2, so we can write it down as 100%=307.2.
4. We know, that x% equals 342.62 of the output value, so we can write it down as x%=342.62.
5. Now we have two simple equations:
1) 100%=307.2
2) x%=342.62
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%=307.2/342.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 342.62 is what percent of 307.2

100%/x%=307.2/342.62
(100/x)*x=(307.2/342.62)*x       - we multiply both sides of the equation by x
100=0.89662016227891*x       - we divide both sides of the equation by (0.89662016227891) to get x
100/0.89662016227891=x
111.52994791667=x
x=111.52994791667

now we have:
342.62 is 111.52994791667% of 307.2