What is 7.3 percent of 966.46 - 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 966.46 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 966.46 is 100%, so we can write it down as 966.46=100%.
4. We know, that x is 7.3% of the output value, so we can write it down as x=7.3%.
5. Now we have two simple equations:
1) 966.46=100%
2) x=7.3%
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:
966.46/x=100%/7.3%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 7.3% of 966.46

966.46/x=100/7.3
(966.46/x)*x=(100/7.3)*x       - we multiply both sides of the equation by x
966.46=13.698630136986*x       - we divide both sides of the equation by (13.698630136986) to get x
966.46/13.698630136986=x
70.55158=x
x=70.55158

now we have:
7.3% of 966.46=70.55158