15.69 is what percent of 15.13 - 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 15.13 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 15.13, so we can write it down as 100%=15.13.
4. We know, that x% equals 15.69 of the output value, so we can write it down as x%=15.69.
5. Now we have two simple equations:
1) 100%=15.13
2) x%=15.69
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%=15.13/15.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.69 is what percent of 15.13

100%/x%=15.13/15.69
(100/x)*x=(15.13/15.69)*x       - we multiply both sides of the equation by x
100=0.96430847673678*x       - we divide both sides of the equation by (0.96430847673678) to get x
100/0.96430847673678=x
103.70125578321=x
x=103.70125578321

now we have:
15.69 is 103.70125578321% of 15.13