70.75 is what percent of 399.69 - 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 399.69 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 399.69, so we can write it down as 100%=399.69.
4. We know, that x% equals 70.75 of the output value, so we can write it down as x%=70.75.
5. Now we have two simple equations:
1) 100%=399.69
2) x%=70.75
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%=399.69/70.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.75 is what percent of 399.69

100%/x%=399.69/70.75
(100/x)*x=(399.69/70.75)*x       - we multiply both sides of the equation by x
100=5.6493286219081*x       - we divide both sides of the equation by (5.6493286219081) to get x
100/5.6493286219081=x
17.701218444294=x
x=17.701218444294

now we have:
70.75 is 17.701218444294% of 399.69