25.52 is what percent of 101.98 - 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 101.98 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 101.98, so we can write it down as 100%=101.98.
4. We know, that x% equals 25.52 of the output value, so we can write it down as x%=25.52.
5. Now we have two simple equations:
1) 100%=101.98
2) x%=25.52
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%=101.98/25.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.52 is what percent of 101.98

100%/x%=101.98/25.52
(100/x)*x=(101.98/25.52)*x       - we multiply both sides of the equation by x
100=3.9960815047022*x       - we divide both sides of the equation by (3.9960815047022) to get x
100/3.9960815047022=x
25.024514610708=x
x=25.024514610708

now we have:
25.52 is 25.024514610708% of 101.98