174.56 is what percent of 1001 - 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 1001 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 1001, so we can write it down as 100%=1001.
4. We know, that x% equals 174.56 of the output value, so we can write it down as x%=174.56.
5. Now we have two simple equations:
1) 100%=1001
2) x%=174.56
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%=1001/174.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 174.56 is what percent of 1001

100%/x%=1001/174.56
(100/x)*x=(1001/174.56)*x       - we multiply both sides of the equation by x
100=5.7344179651696*x       - we divide both sides of the equation by (5.7344179651696) to get x
100/5.7344179651696=x
17.438561438561=x
x=17.438561438561

now we have:
174.56 is 17.438561438561% of 1001