769.33 is what percent of 957.69 - 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 957.69 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 957.69, so we can write it down as 100%=957.69.
4. We know, that x% equals 769.33 of the output value, so we can write it down as x%=769.33.
5. Now we have two simple equations:
1) 100%=957.69
2) x%=769.33
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%=957.69/769.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 769.33 is what percent of 957.69

100%/x%=957.69/769.33
(100/x)*x=(957.69/769.33)*x       - we multiply both sides of the equation by x
100=1.2448364161023*x       - we divide both sides of the equation by (1.2448364161023) to get x
100/1.2448364161023=x
80.331840157045=x
x=80.331840157045

now we have:
769.33 is 80.331840157045% of 957.69