531.08 is what percent of 2602.66 - 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 2602.66 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 2602.66, so we can write it down as 100%=2602.66.
4. We know, that x% equals 531.08 of the output value, so we can write it down as x%=531.08.
5. Now we have two simple equations:
1) 100%=2602.66
2) x%=531.08
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%=2602.66/531.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 531.08 is what percent of 2602.66

100%/x%=2602.66/531.08
(100/x)*x=(2602.66/531.08)*x       - we multiply both sides of the equation by x
100=4.9006929276192*x       - we divide both sides of the equation by (4.9006929276192) to get x
100/4.9006929276192=x
20.405277677453=x
x=20.405277677453

now we have:
531.08 is 20.405277677453% of 2602.66