764.86 is what percent of 1071.92 - 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 1071.92 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 1071.92, so we can write it down as 100%=1071.92.
4. We know, that x% equals 764.86 of the output value, so we can write it down as x%=764.86.
5. Now we have two simple equations:
1) 100%=1071.92
2) x%=764.86
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%=1071.92/764.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 764.86 is what percent of 1071.92

100%/x%=1071.92/764.86
(100/x)*x=(1071.92/764.86)*x       - we multiply both sides of the equation by x
100=1.4014590905525*x       - we divide both sides of the equation by (1.4014590905525) to get x
100/1.4014590905525=x
71.354205537727=x
x=71.354205537727

now we have:
764.86 is 71.354205537727% of 1071.92