19.48 is what percent of 1159.74 - 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 1159.74 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 1159.74, so we can write it down as 100%=1159.74.
4. We know, that x% equals 19.48 of the output value, so we can write it down as x%=19.48.
5. Now we have two simple equations:
1) 100%=1159.74
2) x%=19.48
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%=1159.74/19.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.48 is what percent of 1159.74

100%/x%=1159.74/19.48
(100/x)*x=(1159.74/19.48)*x       - we multiply both sides of the equation by x
100=59.534907597536*x       - we divide both sides of the equation by (59.534907597536) to get x
100/59.534907597536=x
1.6796868263576=x
x=1.6796868263576

now we have:
19.48 is 1.6796868263576% of 1159.74