17.01 is what percent of 174 - 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 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, so we can write it down as 100%=174.
4. We know, that x% equals 17.01 of the output value, so we can write it down as x%=17.01.
5. Now we have two simple equations:
1) 100%=174
2) x%=17.01
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%=174/17.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.01 is what percent of 174

100%/x%=174/17.01
(100/x)*x=(174/17.01)*x       - we multiply both sides of the equation by x
100=10.229276895944*x       - we divide both sides of the equation by (10.229276895944) to get x
100/10.229276895944=x
9.7758620689655=x
x=9.7758620689655

now we have:
17.01 is 9.7758620689655% of 174