25.5 is what percent of 30.07 - 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 30.07 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 30.07, so we can write it down as 100%=30.07.
4. We know, that x% equals 25.5 of the output value, so we can write it down as x%=25.5.
5. Now we have two simple equations:
1) 100%=30.07
2) x%=25.5
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%=30.07/25.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.5 is what percent of 30.07

100%/x%=30.07/25.5
(100/x)*x=(30.07/25.5)*x       - we multiply both sides of the equation by x
100=1.1792156862745*x       - we divide both sides of the equation by (1.1792156862745) to get x
100/1.1792156862745=x
84.802128367143=x
x=84.802128367143

now we have:
25.5 is 84.802128367143% of 30.07