74.5 is what percent of 1349 - 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 1349 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 1349, so we can write it down as 100%=1349.
4. We know, that x% equals 74.5 of the output value, so we can write it down as x%=74.5.
5. Now we have two simple equations:
1) 100%=1349
2) x%=74.5
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%=1349/74.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.5 is what percent of 1349

100%/x%=1349/74.5
(100/x)*x=(1349/74.5)*x       - we multiply both sides of the equation by x
100=18.107382550336*x       - we divide both sides of the equation by (18.107382550336) to get x
100/18.107382550336=x
5.522609340252=x
x=5.522609340252

now we have:
74.5 is 5.522609340252% of 1349