4209.52 is what percent of 53481.38 - 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 53481.38 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 53481.38, so we can write it down as 100%=53481.38.
4. We know, that x% equals 4209.52 of the output value, so we can write it down as x%=4209.52.
5. Now we have two simple equations:
1) 100%=53481.38
2) x%=4209.52
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%=53481.38/4209.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4209.52 is what percent of 53481.38

100%/x%=53481.38/4209.52
(100/x)*x=(53481.38/4209.52)*x       - we multiply both sides of the equation by x
100=12.704864212547*x       - we divide both sides of the equation by (12.704864212547) to get x
100/12.704864212547=x
7.8710010848636=x
x=7.8710010848636

now we have:
4209.52 is 7.8710010848636% of 53481.38