What is 5.07 percent of 5.64 - 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 5.64 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 5.64 is 100%, so we can write it down as 5.64=100%.
4. We know, that x is 5.07% of the output value, so we can write it down as x=5.07%.
5. Now we have two simple equations:
1) 5.64=100%
2) x=5.07%
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:
5.64/x=100%/5.07%
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 5.07% of 5.64

5.64/x=100/5.07
(5.64/x)*x=(100/5.07)*x       - we multiply both sides of the equation by x
5.64=19.723865877712*x       - we divide both sides of the equation by (19.723865877712) to get x
5.64/19.723865877712=x
0.285948=x
x=0.285948

now we have:
5.07% of 5.64=0.285948