26.64 is what percent of 3572 - 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 3572 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 3572, so we can write it down as 100%=3572.
4. We know, that x% equals 26.64 of the output value, so we can write it down as x%=26.64.
5. Now we have two simple equations:
1) 100%=3572
2) x%=26.64
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%=3572/26.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.64 is what percent of 3572

100%/x%=3572/26.64
(100/x)*x=(3572/26.64)*x       - we multiply both sides of the equation by x
100=134.08408408408*x       - we divide both sides of the equation by (134.08408408408) to get x
100/134.08408408408=x
0.7458006718925=x
x=0.7458006718925

now we have:
26.64 is 0.7458006718925% of 3572