17.4 is what percent of 149.2 - 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 149.2 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 149.2, so we can write it down as 100%=149.2.
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%=149.2
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%=149.2/17.4
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 149.2

100%/x%=149.2/17.4
(100/x)*x=(149.2/17.4)*x       - we multiply both sides of the equation by x
100=8.5747126436782*x       - we divide both sides of the equation by (8.5747126436782) to get x
100/8.5747126436782=x
11.662198391421=x
x=11.662198391421

now we have:
17.4 is 11.662198391421% of 149.2