56.7 is what percent of 675 - 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 675 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 675, so we can write it down as 100%=675.
4. We know, that x% equals 56.7 of the output value, so we can write it down as x%=56.7.
5. Now we have two simple equations:
1) 100%=675
2) x%=56.7
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%=675/56.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.7 is what percent of 675

100%/x%=675/56.7
(100/x)*x=(675/56.7)*x       - we multiply both sides of the equation by x
100=11.904761904762*x       - we divide both sides of the equation by (11.904761904762) to get x
100/11.904761904762=x
8.4=x
x=8.4

now we have:
56.7 is 8.4% of 675