56.17 is what percent of 673.88 - 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 673.88 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 673.88, so we can write it down as 100%=673.88.
4. We know, that x% equals 56.17 of the output value, so we can write it down as x%=56.17.
5. Now we have two simple equations:
1) 100%=673.88
2) x%=56.17
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%=673.88/56.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.17 is what percent of 673.88

100%/x%=673.88/56.17
(100/x)*x=(673.88/56.17)*x       - we multiply both sides of the equation by x
100=11.997151504362*x       - we divide both sides of the equation by (11.997151504362) to get x
100/11.997151504362=x
8.3353119249718=x
x=8.3353119249718

now we have:
56.17 is 8.3353119249718% of 673.88