53.14 is what percent of 426.6 - 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 426.6 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 426.6, so we can write it down as 100%=426.6.
4. We know, that x% equals 53.14 of the output value, so we can write it down as x%=53.14.
5. Now we have two simple equations:
1) 100%=426.6
2) x%=53.14
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%=426.6/53.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.14 is what percent of 426.6

100%/x%=426.6/53.14
(100/x)*x=(426.6/53.14)*x       - we multiply both sides of the equation by x
100=8.027850959729*x       - we divide both sides of the equation by (8.027850959729) to get x
100/8.027850959729=x
12.456633849039=x
x=12.456633849039

now we have:
53.14 is 12.456633849039% of 426.6