240.6 is what percent of 739.6 - 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 739.6 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 739.6, so we can write it down as 100%=739.6.
4. We know, that x% equals 240.6 of the output value, so we can write it down as x%=240.6.
5. Now we have two simple equations:
1) 100%=739.6
2) x%=240.6
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%=739.6/240.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 240.6 is what percent of 739.6

100%/x%=739.6/240.6
(100/x)*x=(739.6/240.6)*x       - we multiply both sides of the equation by x
100=3.0739817123857*x       - we divide both sides of the equation by (3.0739817123857) to get x
100/3.0739817123857=x
32.531097890752=x
x=32.531097890752

now we have:
240.6 is 32.531097890752% of 739.6