667.93 is what percent of 4256.42 - 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 4256.42 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 4256.42, so we can write it down as 100%=4256.42.
4. We know, that x% equals 667.93 of the output value, so we can write it down as x%=667.93.
5. Now we have two simple equations:
1) 100%=4256.42
2) x%=667.93
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%=4256.42/667.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 667.93 is what percent of 4256.42

100%/x%=4256.42/667.93
(100/x)*x=(4256.42/667.93)*x       - we multiply both sides of the equation by x
100=6.3725540101508*x       - we divide both sides of the equation by (6.3725540101508) to get x
100/6.3725540101508=x
15.692295403179=x
x=15.692295403179

now we have:
667.93 is 15.692295403179% of 4256.42