25.77 is what percent of 29.7 - 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 29.7 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 29.7, so we can write it down as 100%=29.7.
4. We know, that x% equals 25.77 of the output value, so we can write it down as x%=25.77.
5. Now we have two simple equations:
1) 100%=29.7
2) x%=25.77
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%=29.7/25.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.77 is what percent of 29.7

100%/x%=29.7/25.77
(100/x)*x=(29.7/25.77)*x       - we multiply both sides of the equation by x
100=1.1525029103609*x       - we divide both sides of the equation by (1.1525029103609) to get x
100/1.1525029103609=x
86.767676767677=x
x=86.767676767677

now we have:
25.77 is 86.767676767677% of 29.7