74.2 is what percent of 1412.5 - 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 1412.5 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 1412.5, so we can write it down as 100%=1412.5.
4. We know, that x% equals 74.2 of the output value, so we can write it down as x%=74.2.
5. Now we have two simple equations:
1) 100%=1412.5
2) x%=74.2
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%=1412.5/74.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.2 is what percent of 1412.5

100%/x%=1412.5/74.2
(100/x)*x=(1412.5/74.2)*x       - we multiply both sides of the equation by x
100=19.036388140162*x       - we divide both sides of the equation by (19.036388140162) to get x
100/19.036388140162=x
5.2530973451327=x
x=5.2530973451327

now we have:
74.2 is 5.2530973451327% of 1412.5