67.07 is what percent of 635.49 - 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 635.49 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 635.49, so we can write it down as 100%=635.49.
4. We know, that x% equals 67.07 of the output value, so we can write it down as x%=67.07.
5. Now we have two simple equations:
1) 100%=635.49
2) x%=67.07
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%=635.49/67.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.07 is what percent of 635.49

100%/x%=635.49/67.07
(100/x)*x=(635.49/67.07)*x       - we multiply both sides of the equation by x
100=9.4750260921425*x       - we divide both sides of the equation by (9.4750260921425) to get x
100/9.4750260921425=x
10.554060646116=x
x=10.554060646116

now we have:
67.07 is 10.554060646116% of 635.49