1760.48 is what percent of 26500.47 - 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 26500.47 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 26500.47, so we can write it down as 100%=26500.47.
4. We know, that x% equals 1760.48 of the output value, so we can write it down as x%=1760.48.
5. Now we have two simple equations:
1) 100%=26500.47
2) x%=1760.48
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%=26500.47/1760.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1760.48 is what percent of 26500.47

100%/x%=26500.47/1760.48
(100/x)*x=(26500.47/1760.48)*x       - we multiply both sides of the equation by x
100=15.052979869127*x       - we divide both sides of the equation by (15.052979869127) to get x
100/15.052979869127=x
6.6432029318725=x
x=6.6432029318725

now we have:
1760.48 is 6.6432029318725% of 26500.47