19.33 is what percent of 6740 - 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 6740 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 6740, so we can write it down as 100%=6740.
4. We know, that x% equals 19.33 of the output value, so we can write it down as x%=19.33.
5. Now we have two simple equations:
1) 100%=6740
2) x%=19.33
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%=6740/19.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.33 is what percent of 6740

100%/x%=6740/19.33
(100/x)*x=(6740/19.33)*x       - we multiply both sides of the equation by x
100=348.680807036*x       - we divide both sides of the equation by (348.680807036) to get x
100/348.680807036=x
0.286795252226=x
x=0.286795252226

now we have:
19.33 is 0.286795252226% of 6740