53 is what percent of 1318 - 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 1318 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 1318, so we can write it down as 100%=1318.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=1318
2) x%=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%=1318/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 1318

100%/x%=1318/53
(100/x)*x=(1318/53)*x       - we multiply both sides of the equation by x
100=24.867924528302*x       - we divide both sides of the equation by (24.867924528302) to get x
100/24.867924528302=x
4.0212443095599=x
x=4.0212443095599

now we have:
53 is 4.0212443095599% of 1318