353.02 is what percent of 1302.5 - 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 1302.5 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 1302.5, so we can write it down as 100%=1302.5.
4. We know, that x% equals 353.02 of the output value, so we can write it down as x%=353.02.
5. Now we have two simple equations:
1) 100%=1302.5
2) x%=353.02
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%=1302.5/353.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 353.02 is what percent of 1302.5

100%/x%=1302.5/353.02
(100/x)*x=(1302.5/353.02)*x       - we multiply both sides of the equation by x
100=3.6895926576398*x       - we divide both sides of the equation by (3.6895926576398) to get x
100/3.6895926576398=x
27.103262955854=x
x=27.103262955854

now we have:
353.02 is 27.103262955854% of 1302.5