770.25 is what percent of 839.97 - 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 839.97 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 839.97, so we can write it down as 100%=839.97.
4. We know, that x% equals 770.25 of the output value, so we can write it down as x%=770.25.
5. Now we have two simple equations:
1) 100%=839.97
2) x%=770.25
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:
100%/x%=839.97/770.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 770.25 is what percent of 839.97

100%/x%=839.97/770.25
(100/x)*x=(839.97/770.25)*x       - we multiply both sides of the equation by x
100=1.0905160662123*x       - we divide both sides of the equation by (1.0905160662123) to get x
100/1.0905160662123=x
91.699703560841=x
x=91.699703560841

now we have:
770.25 is 91.699703560841% of 839.97