68.46 is what percent of 1674.75 - 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 1674.75 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 1674.75, so we can write it down as 100%=1674.75.
4. We know, that x% equals 68.46 of the output value, so we can write it down as x%=68.46.
5. Now we have two simple equations:
1) 100%=1674.75
2) x%=68.46
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%=1674.75/68.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.46 is what percent of 1674.75

100%/x%=1674.75/68.46
(100/x)*x=(1674.75/68.46)*x       - we multiply both sides of the equation by x
100=24.463190184049*x       - we divide both sides of the equation by (24.463190184049) to get x
100/24.463190184049=x
4.0877742946708=x
x=4.0877742946708

now we have:
68.46 is 4.0877742946708% of 1674.75