67.78 is what percent of 21519.08 - 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 21519.08 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 21519.08, so we can write it down as 100%=21519.08.
4. We know, that x% equals 67.78 of the output value, so we can write it down as x%=67.78.
5. Now we have two simple equations:
1) 100%=21519.08
2) x%=67.78
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%=21519.08/67.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.78 is what percent of 21519.08

100%/x%=21519.08/67.78
(100/x)*x=(21519.08/67.78)*x       - we multiply both sides of the equation by x
100=317.48421363234*x       - we divide both sides of the equation by (317.48421363234) to get x
100/317.48421363234=x
0.31497629080797=x
x=0.31497629080797

now we have:
67.78 is 0.31497629080797% of 21519.08