What is 5.23 percent of 4.978 - 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 4.978 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 4.978 is 100%, so we can write it down as 4.978=100%.
4. We know, that x is 5.23% of the output value, so we can write it down as x=5.23%.
5. Now we have two simple equations:
1) 4.978=100%
2) x=5.23%
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:
4.978/x=100%/5.23%
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 5.23% of 4.978

4.978/x=100/5.23
(4.978/x)*x=(100/5.23)*x       - we multiply both sides of the equation by x
4.978=19.120458891013*x       - we divide both sides of the equation by (19.120458891013) to get x
4.978/19.120458891013=x
0.2603494=x
x=0.2603494

now we have:
5.23% of 4.978=0.2603494