34.75 is what percent of 242.4 - 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 242.4 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 242.4, so we can write it down as 100%=242.4.
4. We know, that x% equals 34.75 of the output value, so we can write it down as x%=34.75.
5. Now we have two simple equations:
1) 100%=242.4
2) x%=34.75
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%=242.4/34.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.75 is what percent of 242.4

100%/x%=242.4/34.75
(100/x)*x=(242.4/34.75)*x       - we multiply both sides of the equation by x
100=6.9755395683453*x       - we divide both sides of the equation by (6.9755395683453) to get x
100/6.9755395683453=x
14.335808580858=x
x=14.335808580858

now we have:
34.75 is 14.335808580858% of 242.4