15.35 is what percent of 15.75 - 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 15.75 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 15.75, so we can write it down as 100%=15.75.
4. We know, that x% equals 15.35 of the output value, so we can write it down as x%=15.35.
5. Now we have two simple equations:
1) 100%=15.75
2) x%=15.35
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%=15.75/15.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.35 is what percent of 15.75

100%/x%=15.75/15.35
(100/x)*x=(15.75/15.35)*x       - we multiply both sides of the equation by x
100=1.0260586319218*x       - we divide both sides of the equation by (1.0260586319218) to get x
100/1.0260586319218=x
97.460317460317=x
x=97.460317460317

now we have:
15.35 is 97.460317460317% of 15.75