243.84 is what percent of 6788.42 - 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 6788.42 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 6788.42, so we can write it down as 100%=6788.42.
4. We know, that x% equals 243.84 of the output value, so we can write it down as x%=243.84.
5. Now we have two simple equations:
1) 100%=6788.42
2) x%=243.84
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%=6788.42/243.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 243.84 is what percent of 6788.42

100%/x%=6788.42/243.84
(100/x)*x=(6788.42/243.84)*x       - we multiply both sides of the equation by x
100=27.839648950131*x       - we divide both sides of the equation by (27.839648950131) to get x
100/27.839648950131=x
3.5919993164831=x
x=3.5919993164831

now we have:
243.84 is 3.5919993164831% of 6788.42