What is 7.4896 percent of 5458 - 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 5458 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 5458 is 100%, so we can write it down as 5458=100%.
4. We know, that x is 7.4896% of the output value, so we can write it down as x=7.4896%.
5. Now we have two simple equations:
1) 5458=100%
2) x=7.4896%
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:
5458/x=100%/7.4896%
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 7.4896% of 5458

5458/x=100/7.4896
(5458/x)*x=(100/7.4896)*x       - we multiply both sides of the equation by x
5458=13.351847895749*x       - we divide both sides of the equation by (13.351847895749) to get x
5458/13.351847895749=x
408.782368=x
x=408.782368

now we have:
7.4896% of 5458=408.782368