52 is what percent of 26580 - 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 26580 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 26580, so we can write it down as 100%=26580.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=26580
2) x%=52
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%=26580/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 26580

100%/x%=26580/52
(100/x)*x=(26580/52)*x       - we multiply both sides of the equation by x
100=511.15384615385*x       - we divide both sides of the equation by (511.15384615385) to get x
100/511.15384615385=x
0.19563581640331=x
x=0.19563581640331

now we have:
52 is 0.19563581640331% of 26580