19.75 is what percent of 157.75 - 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 157.75 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 157.75, so we can write it down as 100%=157.75.
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%=157.75
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%=157.75/19.75
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 157.75

100%/x%=157.75/19.75
(100/x)*x=(157.75/19.75)*x       - we multiply both sides of the equation by x
100=7.9873417721519*x       - we divide both sides of the equation by (7.9873417721519) to get x
100/7.9873417721519=x
12.519809825674=x
x=12.519809825674

now we have:
19.75 is 12.519809825674% of 157.75