19.75 is what percent of 37.53 - 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 37.53 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 37.53, so we can write it down as 100%=37.53.
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%=37.53
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%=37.53/19.75
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 37.53

100%/x%=37.53/19.75
(100/x)*x=(37.53/19.75)*x       - we multiply both sides of the equation by x
100=1.900253164557*x       - we divide both sides of the equation by (1.900253164557) to get x
100/1.900253164557=x
52.624567013056=x
x=52.624567013056

now we have:
19.75 is 52.624567013056% of 37.53