667.86 is what percent of 757 - 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 757 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 757, so we can write it down as 100%=757.
4. We know, that x% equals 667.86 of the output value, so we can write it down as x%=667.86.
5. Now we have two simple equations:
1) 100%=757
2) x%=667.86
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%=757/667.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 667.86 is what percent of 757

100%/x%=757/667.86
(100/x)*x=(757/667.86)*x       - we multiply both sides of the equation by x
100=1.1334710867547*x       - we divide both sides of the equation by (1.1334710867547) to get x
100/1.1334710867547=x
88.224570673712=x
x=88.224570673712

now we have:
667.86 is 88.224570673712% of 757