What is 5.61 percent of 6.78 - 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 6.78 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 6.78 is 100%, so we can write it down as 6.78=100%.
4. We know, that x is 5.61% of the output value, so we can write it down as x=5.61%.
5. Now we have two simple equations:
1) 6.78=100%
2) x=5.61%
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:
6.78/x=100%/5.61%
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 5.61% of 6.78

6.78/x=100/5.61
(6.78/x)*x=(100/5.61)*x       - we multiply both sides of the equation by x
6.78=17.825311942959*x       - we divide both sides of the equation by (17.825311942959) to get x
6.78/17.825311942959=x
0.380358=x
x=0.380358

now we have:
5.61% of 6.78=0.380358