What is 7.25 percent of 977.5 - 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 977.5 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 977.5 is 100%, so we can write it down as 977.5=100%.
4. We know, that x is 7.25% of the output value, so we can write it down as x=7.25%.
5. Now we have two simple equations:
1) 977.5=100%
2) x=7.25%
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:
977.5/x=100%/7.25%
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 7.25% of 977.5

977.5/x=100/7.25
(977.5/x)*x=(100/7.25)*x       - we multiply both sides of the equation by x
977.5=13.793103448276*x       - we divide both sides of the equation by (13.793103448276) to get x
977.5/13.793103448276=x
70.86875=x
x=70.86875

now we have:
7.25% of 977.5=70.86875