19.47 is what percent of 38.53 - 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 38.53 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 38.53, so we can write it down as 100%=38.53.
4. We know, that x% equals 19.47 of the output value, so we can write it down as x%=19.47.
5. Now we have two simple equations:
1) 100%=38.53
2) x%=19.47
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%=38.53/19.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.47 is what percent of 38.53

100%/x%=38.53/19.47
(100/x)*x=(38.53/19.47)*x       - we multiply both sides of the equation by x
100=1.97894196199*x       - we divide both sides of the equation by (1.97894196199) to get x
100/1.97894196199=x
50.5320529458=x
x=50.5320529458

now we have:
19.47 is 50.5320529458% of 38.53