76.83 is what percent of 84.65 - 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 84.65 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 84.65, so we can write it down as 100%=84.65.
4. We know, that x% equals 76.83 of the output value, so we can write it down as x%=76.83.
5. Now we have two simple equations:
1) 100%=84.65
2) x%=76.83
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%=84.65/76.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.83 is what percent of 84.65

100%/x%=84.65/76.83
(100/x)*x=(84.65/76.83)*x       - we multiply both sides of the equation by x
100=1.1017831576207*x       - we divide both sides of the equation by (1.1017831576207) to get x
100/1.1017831576207=x
90.761961015948=x
x=90.761961015948

now we have:
76.83 is 90.761961015948% of 84.65