61.78 is what percent of 300 - 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 300 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 300, so we can write it down as 100%=300.
4. We know, that x% equals 61.78 of the output value, so we can write it down as x%=61.78.
5. Now we have two simple equations:
1) 100%=300
2) x%=61.78
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%=300/61.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.78 is what percent of 300

100%/x%=300/61.78
(100/x)*x=(300/61.78)*x       - we multiply both sides of the equation by x
100=4.8559404337973*x       - we divide both sides of the equation by (4.8559404337973) to get x
100/4.8559404337973=x
20.593333333333=x
x=20.593333333333

now we have:
61.78 is 20.593333333333% of 300