342 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 342 of the output value, so we can write it down as x%=342.
5. Now we have two simple equations:
1) 100%=9
2) x%=342
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%=9/342
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 342 is what percent of 9

100%/x%=9/342
(100/x)*x=(9/342)*x       - we multiply both sides of the equation by x
100=0.026315789473684*x       - we divide both sides of the equation by (0.026315789473684) to get x
100/0.026315789473684=x
3800=x
x=3800

now we have:
342 is 3800% of 9