37.85 is what percent of 6.25 - 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 6.25 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 6.25, so we can write it down as 100%=6.25.
4. We know, that x% equals 37.85 of the output value, so we can write it down as x%=37.85.
5. Now we have two simple equations:
1) 100%=6.25
2) x%=37.85
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%=6.25/37.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.85 is what percent of 6.25

100%/x%=6.25/37.85
(100/x)*x=(6.25/37.85)*x       - we multiply both sides of the equation by x
100=0.16512549537649*x       - we divide both sides of the equation by (0.16512549537649) to get x
100/0.16512549537649=x
605.6=x
x=605.6

now we have:
37.85 is 605.6% of 6.25