10 is what percent of 178.42 - 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 178.42 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 178.42, so we can write it down as 100%=178.42.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=178.42
2) x%=10
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%=178.42/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 178.42

100%/x%=178.42/10
(100/x)*x=(178.42/10)*x       - we multiply both sides of the equation by x
100=17.842*x       - we divide both sides of the equation by (17.842) to get x
100/17.842=x
5.6047528304002=x
x=5.6047528304002

now we have:
10 is 5.6047528304002% of 178.42