19.84 is what percent of 20.74 - 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 20.74 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 20.74, so we can write it down as 100%=20.74.
4. We know, that x% equals 19.84 of the output value, so we can write it down as x%=19.84.
5. Now we have two simple equations:
1) 100%=20.74
2) x%=19.84
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%=20.74/19.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.84 is what percent of 20.74

100%/x%=20.74/19.84
(100/x)*x=(20.74/19.84)*x       - we multiply both sides of the equation by x
100=1.0453629032258*x       - we divide both sides of the equation by (1.0453629032258) to get x
100/1.0453629032258=x
95.66055930569=x
x=95.66055930569

now we have:
19.84 is 95.66055930569% of 20.74