17.4 is what percent of 182.4 - 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 182.4 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 182.4, so we can write it down as 100%=182.4.
4. We know, that x% equals 17.4 of the output value, so we can write it down as x%=17.4.
5. Now we have two simple equations:
1) 100%=182.4
2) x%=17.4
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%=182.4/17.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.4 is what percent of 182.4

100%/x%=182.4/17.4
(100/x)*x=(182.4/17.4)*x       - we multiply both sides of the equation by x
100=10.48275862069*x       - we divide both sides of the equation by (10.48275862069) to get x
100/10.48275862069=x
9.5394736842105=x
x=9.5394736842105

now we have:
17.4 is 9.5394736842105% of 182.4