15.07 is what percent of 8.4 - 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 8.4 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 8.4, so we can write it down as 100%=8.4.
4. We know, that x% equals 15.07 of the output value, so we can write it down as x%=15.07.
5. Now we have two simple equations:
1) 100%=8.4
2) x%=15.07
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%=8.4/15.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.07 is what percent of 8.4

100%/x%=8.4/15.07
(100/x)*x=(8.4/15.07)*x       - we multiply both sides of the equation by x
100=0.55739880557399*x       - we divide both sides of the equation by (0.55739880557399) to get x
100/0.55739880557399=x
179.40476190476=x
x=179.40476190476

now we have:
15.07 is 179.40476190476% of 8.4