76.97 is what percent of 1302.65 - 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 1302.65 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 1302.65, so we can write it down as 100%=1302.65.
4. We know, that x% equals 76.97 of the output value, so we can write it down as x%=76.97.
5. Now we have two simple equations:
1) 100%=1302.65
2) x%=76.97
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%=1302.65/76.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.97 is what percent of 1302.65

100%/x%=1302.65/76.97
(100/x)*x=(1302.65/76.97)*x       - we multiply both sides of the equation by x
100=16.924126282967*x       - we divide both sides of the equation by (16.924126282967) to get x
100/16.924126282967=x
5.9087245230876=x
x=5.9087245230876

now we have:
76.97 is 5.9087245230876% of 1302.65