7.56 is what percent of 105.662 - 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 105.662 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 105.662, so we can write it down as 100%=105.662.
4. We know, that x% equals 7.56 of the output value, so we can write it down as x%=7.56.
5. Now we have two simple equations:
1) 100%=105.662
2) x%=7.56
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%=105.662/7.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.56 is what percent of 105.662

100%/x%=105.662/7.56
(100/x)*x=(105.662/7.56)*x       - we multiply both sides of the equation by x
100=13.976455026455*x       - we divide both sides of the equation by (13.976455026455) to get x
100/13.976455026455=x
7.1548901213303=x
x=7.1548901213303

now we have:
7.56 is 7.1548901213303% of 105.662