800.72 is what percent of 880.72 - 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 880.72 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 880.72, so we can write it down as 100%=880.72.
4. We know, that x% equals 800.72 of the output value, so we can write it down as x%=800.72.
5. Now we have two simple equations:
1) 100%=880.72
2) x%=800.72
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%=880.72/800.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 800.72 is what percent of 880.72

100%/x%=880.72/800.72
(100/x)*x=(880.72/800.72)*x       - we multiply both sides of the equation by x
100=1.0999100809272*x       - we divide both sides of the equation by (1.0999100809272) to get x
100/1.0999100809272=x
90.916522844945=x
x=90.916522844945

now we have:
800.72 is 90.916522844945% of 880.72