What is 8.78 percent of 55.35 - 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 55.35 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 55.35 is 100%, so we can write it down as 55.35=100%.
4. We know, that x is 8.78% of the output value, so we can write it down as x=8.78%.
5. Now we have two simple equations:
1) 55.35=100%
2) x=8.78%
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:
55.35/x=100%/8.78%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.78% of 55.35

55.35/x=100/8.78
(55.35/x)*x=(100/8.78)*x       - we multiply both sides of the equation by x
55.35=11.389521640091*x       - we divide both sides of the equation by (11.389521640091) to get x
55.35/11.389521640091=x
4.85973=x
x=4.85973

now we have:
8.78% of 55.35=4.85973