25.66 is what percent of 1424.82 - 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 1424.82 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 1424.82, so we can write it down as 100%=1424.82.
4. We know, that x% equals 25.66 of the output value, so we can write it down as x%=25.66.
5. Now we have two simple equations:
1) 100%=1424.82
2) x%=25.66
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%=1424.82/25.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.66 is what percent of 1424.82

100%/x%=1424.82/25.66
(100/x)*x=(1424.82/25.66)*x       - we multiply both sides of the equation by x
100=55.526890101325*x       - we divide both sides of the equation by (55.526890101325) to get x
100/55.526890101325=x
1.8009292401847=x
x=1.8009292401847

now we have:
25.66 is 1.8009292401847% of 1424.82