69.9 is what percent of 174.75 - 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 174.75 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 174.75, so we can write it down as 100%=174.75.
4. We know, that x% equals 69.9 of the output value, so we can write it down as x%=69.9.
5. Now we have two simple equations:
1) 100%=174.75
2) x%=69.9
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%=174.75/69.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.9 is what percent of 174.75

100%/x%=174.75/69.9
(100/x)*x=(174.75/69.9)*x       - we multiply both sides of the equation by x
100=2.5*x       - we divide both sides of the equation by (2.5) to get x
100/2.5=x
40=x
x=40

now we have:
69.9 is 40% of 174.75