551.5 is what percent of 820 - 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 820 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 820, so we can write it down as 100%=820.
4. We know, that x% equals 551.5 of the output value, so we can write it down as x%=551.5.
5. Now we have two simple equations:
1) 100%=820
2) x%=551.5
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%=820/551.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 551.5 is what percent of 820

100%/x%=820/551.5
(100/x)*x=(820/551.5)*x       - we multiply both sides of the equation by x
100=1.4868540344515*x       - we divide both sides of the equation by (1.4868540344515) to get x
100/1.4868540344515=x
67.256097560976=x
x=67.256097560976

now we have:
551.5 is 67.256097560976% of 820