7.5 is what percent of 792.75 - 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 792.75 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 792.75, so we can write it down as 100%=792.75.
4. We know, that x% equals 7.5 of the output value, so we can write it down as x%=7.5.
5. Now we have two simple equations:
1) 100%=792.75
2) x%=7.5
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%=792.75/7.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.5 is what percent of 792.75

100%/x%=792.75/7.5
(100/x)*x=(792.75/7.5)*x       - we multiply both sides of the equation by x
100=105.7*x       - we divide both sides of the equation by (105.7) to get x
100/105.7=x
0.94607379375591=x
x=0.94607379375591

now we have:
7.5 is 0.94607379375591% of 792.75