62 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 62 of the output value, so we can write it down as x%=62.
5. Now we have two simple equations:
1) 100%=7.442
2) x%=62
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%=7.442/62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62 is what percent of 7.442

100%/x%=7.442/62
(100/x)*x=(7.442/62)*x       - we multiply both sides of the equation by x
100=0.12003225806452*x       - we divide both sides of the equation by (0.12003225806452) to get x
100/0.12003225806452=x
833.10937919914=x
x=833.10937919914

now we have:
62 is 833.10937919914% of 7.442