620.2 is what percent of 3875.75 - 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 3875.75 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 3875.75, so we can write it down as 100%=3875.75.
4. We know, that x% equals 620.2 of the output value, so we can write it down as x%=620.2.
5. Now we have two simple equations:
1) 100%=3875.75
2) x%=620.2
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%=3875.75/620.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 620.2 is what percent of 3875.75

100%/x%=3875.75/620.2
(100/x)*x=(3875.75/620.2)*x       - we multiply both sides of the equation by x
100=6.2491938084489*x       - we divide both sides of the equation by (6.2491938084489) to get x
100/6.2491938084489=x
16.002064116623=x
x=16.002064116623

now we have:
620.2 is 16.002064116623% of 3875.75