16.25 is what percent of 313.75 - 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 313.75 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 100% equals 313.75, so we can write it down as 100%=313.75.
4. We know, that x% equals 16.25 of the output value, so we can write it down as x%=16.25.
5. Now we have two simple equations:
1) 100%=313.75
2) x%=16.25
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:
100%/x%=313.75/16.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.25 is what percent of 313.75

100%/x%=313.75/16.25
(100/x)*x=(313.75/16.25)*x       - we multiply both sides of the equation by x
100=19.307692307692*x       - we divide both sides of the equation by (19.307692307692) to get x
100/19.307692307692=x
5.1792828685259=x
x=5.1792828685259

now we have:
16.25 is 5.1792828685259% of 313.75