What is 5.6047528304002 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 178.42 is 100%, so we can write it down as 178.42=100%.
4. We know, that x is 5.6047528304002% of the output value, so we can write it down as x=5.6047528304002%.
5. Now we have two simple equations:
1) 178.42=100%
2) x=5.6047528304002%
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:
178.42/x=100%/5.6047528304002%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 5.6047528304002% of 178.42

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

now we have:
5.6047528304002% of 178.42=10