242.04 is what percent of 1747 - 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 1747 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 1747, so we can write it down as 100%=1747.
4. We know, that x% equals 242.04 of the output value, so we can write it down as x%=242.04.
5. Now we have two simple equations:
1) 100%=1747
2) x%=242.04
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%=1747/242.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.04 is what percent of 1747

100%/x%=1747/242.04
(100/x)*x=(1747/242.04)*x       - we multiply both sides of the equation by x
100=7.2178152371509*x       - we divide both sides of the equation by (7.2178152371509) to get x
100/7.2178152371509=x
13.854607899256=x
x=13.854607899256

now we have:
242.04 is 13.854607899256% of 1747