1.3 is what percent of 7.442 - 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 7.442 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 7.442, so we can write it down as 100%=7.442.
4. We know, that x% equals 1.3 of the output value, so we can write it down as x%=1.3.
5. Now we have two simple equations:
1) 100%=7.442
2) x%=1.3
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%=7.442/1.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.3 is what percent of 7.442

100%/x%=7.442/1.3
(100/x)*x=(7.442/1.3)*x       - we multiply both sides of the equation by x
100=5.7246153846154*x       - we divide both sides of the equation by (5.7246153846154) to get x
100/5.7246153846154=x
17.468422467079=x
x=17.468422467079

now we have:
1.3 is 17.468422467079% of 7.442