74 is what percent of 17.8 - 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 17.8 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 17.8, so we can write it down as 100%=17.8.
4. We know, that x% equals 74 of the output value, so we can write it down as x%=74.
5. Now we have two simple equations:
1) 100%=17.8
2) x%=74
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%=17.8/74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74 is what percent of 17.8

100%/x%=17.8/74
(100/x)*x=(17.8/74)*x       - we multiply both sides of the equation by x
100=0.24054054054054*x       - we divide both sides of the equation by (0.24054054054054) to get x
100/0.24054054054054=x
415.73033707865=x
x=415.73033707865

now we have:
74 is 415.73033707865% of 17.8