1424.37 is what percent of 20767.84 - 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 20767.84 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 20767.84, so we can write it down as 100%=20767.84.
4. We know, that x% equals 1424.37 of the output value, so we can write it down as x%=1424.37.
5. Now we have two simple equations:
1) 100%=20767.84
2) x%=1424.37
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%=20767.84/1424.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1424.37 is what percent of 20767.84

100%/x%=20767.84/1424.37
(100/x)*x=(20767.84/1424.37)*x       - we multiply both sides of the equation by x
100=14.580368864831*x       - we divide both sides of the equation by (14.580368864831) to get x
100/14.580368864831=x
6.85853704574=x
x=6.85853704574

now we have:
1424.37 is 6.85853704574% of 20767.84