20 is what percent of 7.53 - 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 7.53 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 7.53, so we can write it down as 100%=7.53.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=7.53
2) x%=20
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%=7.53/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 7.53

100%/x%=7.53/20
(100/x)*x=(7.53/20)*x       - we multiply both sides of the equation by x
100=0.3765*x       - we divide both sides of the equation by (0.3765) to get x
100/0.3765=x
265.60424966799=x
x=265.60424966799

now we have:
20 is 265.60424966799% of 7.53