52.95 is what percent of 1297.05 - 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 1297.05 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 1297.05, so we can write it down as 100%=1297.05.
4. We know, that x% equals 52.95 of the output value, so we can write it down as x%=52.95.
5. Now we have two simple equations:
1) 100%=1297.05
2) x%=52.95
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%=1297.05/52.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.95 is what percent of 1297.05

100%/x%=1297.05/52.95
(100/x)*x=(1297.05/52.95)*x       - we multiply both sides of the equation by x
100=24.495750708215*x       - we divide both sides of the equation by (24.495750708215) to get x
100/24.495750708215=x
4.0823406961952=x
x=4.0823406961952

now we have:
52.95 is 4.0823406961952% of 1297.05