19.75 is what percent of 377.5 - 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 377.5 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 100% equals 377.5, so we can write it down as 100%=377.5.
4. We know, that x% equals 19.75 of the output value, so we can write it down as x%=19.75.
5. Now we have two simple equations:
1) 100%=377.5
2) x%=19.75
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%=377.5/19.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.75 is what percent of 377.5

100%/x%=377.5/19.75
(100/x)*x=(377.5/19.75)*x       - we multiply both sides of the equation by x
100=19.113924050633*x       - we divide both sides of the equation by (19.113924050633) to get x
100/19.113924050633=x
5.2317880794702=x
x=5.2317880794702

now we have:
19.75 is 5.2317880794702% of 377.5