6.74 is what percent of 1333.33 - 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 1333.33 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 1333.33, so we can write it down as 100%=1333.33.
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%=1333.33
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%=1333.33/6.74
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 1333.33

100%/x%=1333.33/6.74
(100/x)*x=(1333.33/6.74)*x       - we multiply both sides of the equation by x
100=197.8234421365*x       - we divide both sides of the equation by (197.8234421365) to get x
100/197.8234421365=x
0.50550126375316=x
x=0.50550126375316

now we have:
6.74 is 0.50550126375316% of 1333.33