63.53 is what percent of 674.67 - 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 674.67 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 674.67, so we can write it down as 100%=674.67.
4. We know, that x% equals 63.53 of the output value, so we can write it down as x%=63.53.
5. Now we have two simple equations:
1) 100%=674.67
2) x%=63.53
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%=674.67/63.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.53 is what percent of 674.67

100%/x%=674.67/63.53
(100/x)*x=(674.67/63.53)*x       - we multiply both sides of the equation by x
100=10.619707224933*x       - we divide both sides of the equation by (10.619707224933) to get x
100/10.619707224933=x
9.4164554522952=x
x=9.4164554522952

now we have:
63.53 is 9.4164554522952% of 674.67