531.58 is what percent of 627.67 - 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 627.67 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 627.67, so we can write it down as 100%=627.67.
4. We know, that x% equals 531.58 of the output value, so we can write it down as x%=531.58.
5. Now we have two simple equations:
1) 100%=627.67
2) x%=531.58
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%=627.67/531.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 531.58 is what percent of 627.67

100%/x%=627.67/531.58
(100/x)*x=(627.67/531.58)*x       - we multiply both sides of the equation by x
100=1.1807630083901*x       - we divide both sides of the equation by (1.1807630083901) to get x
100/1.1807630083901=x
84.691000047796=x
x=84.691000047796

now we have:
531.58 is 84.691000047796% of 627.67