667.06 is what percent of 824.53 - 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 824.53 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 824.53, so we can write it down as 100%=824.53.
4. We know, that x% equals 667.06 of the output value, so we can write it down as x%=667.06.
5. Now we have two simple equations:
1) 100%=824.53
2) x%=667.06
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%=824.53/667.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 667.06 is what percent of 824.53

100%/x%=824.53/667.06
(100/x)*x=(824.53/667.06)*x       - we multiply both sides of the equation by x
100=1.2360657212245*x       - we divide both sides of the equation by (1.2360657212245) to get x
100/1.2360657212245=x
80.901847112901=x
x=80.901847112901

now we have:
667.06 is 80.901847112901% of 824.53