67.01 is what percent of 688.47 - 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 688.47 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 688.47, so we can write it down as 100%=688.47.
4. We know, that x% equals 67.01 of the output value, so we can write it down as x%=67.01.
5. Now we have two simple equations:
1) 100%=688.47
2) x%=67.01
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%=688.47/67.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.01 is what percent of 688.47

100%/x%=688.47/67.01
(100/x)*x=(688.47/67.01)*x       - we multiply both sides of the equation by x
100=10.27413818833*x       - we divide both sides of the equation by (10.27413818833) to get x
100/10.27413818833=x
9.733176463753=x
x=9.733176463753

now we have:
67.01 is 9.733176463753% of 688.47