6.74 is what percent of 318.55 - 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 318.55 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 318.55, so we can write it down as 100%=318.55.
4. We know, that x% equals 6.74 of the output value, so we can write it down as x%=6.74.
5. Now we have two simple equations:
1) 100%=318.55
2) x%=6.74
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%=318.55/6.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.74 is what percent of 318.55

100%/x%=318.55/6.74
(100/x)*x=(318.55/6.74)*x       - we multiply both sides of the equation by x
100=47.262611275964*x       - we divide both sides of the equation by (47.262611275964) to get x
100/47.262611275964=x
2.1158373881651=x
x=2.1158373881651

now we have:
6.74 is 2.1158373881651% of 318.55