355.5 is what percent of 7330 - 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 7330 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 7330, so we can write it down as 100%=7330.
4. We know, that x% equals 355.5 of the output value, so we can write it down as x%=355.5.
5. Now we have two simple equations:
1) 100%=7330
2) x%=355.5
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%=7330/355.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.5 is what percent of 7330

100%/x%=7330/355.5
(100/x)*x=(7330/355.5)*x       - we multiply both sides of the equation by x
100=20.618846694796*x       - we divide both sides of the equation by (20.618846694796) to get x
100/20.618846694796=x
4.849931787176=x
x=4.849931787176

now we have:
355.5 is 4.849931787176% of 7330