What is 16.55 percent of 5437.5 - 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 5437.5 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 5437.5 is 100%, so we can write it down as 5437.5=100%.
4. We know, that x is 16.55% of the output value, so we can write it down as x=16.55%.
5. Now we have two simple equations:
1) 5437.5=100%
2) x=16.55%
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:
5437.5/x=100%/16.55%
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 16.55% of 5437.5

5437.5/x=100/16.55
(5437.5/x)*x=(100/16.55)*x       - we multiply both sides of the equation by x
5437.5=6.0422960725076*x       - we divide both sides of the equation by (6.0422960725076) to get x
5437.5/6.0422960725076=x
899.90625=x
x=899.90625

now we have:
16.55% of 5437.5=899.90625