53.1 is what percent of 21.1 - 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 21.1 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 21.1, so we can write it down as 100%=21.1.
4. We know, that x% equals 53.1 of the output value, so we can write it down as x%=53.1.
5. Now we have two simple equations:
1) 100%=21.1
2) x%=53.1
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%=21.1/53.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.1 is what percent of 21.1

100%/x%=21.1/53.1
(100/x)*x=(21.1/53.1)*x       - we multiply both sides of the equation by x
100=0.39736346516008*x       - we divide both sides of the equation by (0.39736346516008) to get x
100/0.39736346516008=x
251.65876777251=x
x=251.65876777251

now we have:
53.1 is 251.65876777251% of 21.1