7.52 is what percent of 15.19 - 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 15.19 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 15.19, so we can write it down as 100%=15.19.
4. We know, that x% equals 7.52 of the output value, so we can write it down as x%=7.52.
5. Now we have two simple equations:
1) 100%=15.19
2) x%=7.52
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%=15.19/7.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.52 is what percent of 15.19

100%/x%=15.19/7.52
(100/x)*x=(15.19/7.52)*x       - we multiply both sides of the equation by x
100=2.0199468085106*x       - we divide both sides of the equation by (2.0199468085106) to get x
100/2.0199468085106=x
49.506254114549=x
x=49.506254114549

now we have:
7.52 is 49.506254114549% of 15.19