0.53 is what percent of 19.76 - 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 19.76 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 19.76, so we can write it down as 100%=19.76.
4. We know, that x% equals 0.53 of the output value, so we can write it down as x%=0.53.
5. Now we have two simple equations:
1) 100%=19.76
2) x%=0.53
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%=19.76/0.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.53 is what percent of 19.76

100%/x%=19.76/0.53
(100/x)*x=(19.76/0.53)*x       - we multiply both sides of the equation by x
100=37.283018867925*x       - we divide both sides of the equation by (37.283018867925) to get x
100/37.283018867925=x
2.6821862348178=x
x=2.6821862348178

now we have:
0.53 is 2.6821862348178% of 19.76