5.07 is what percent of 7.42 - 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 7.42 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 7.42, so we can write it down as 100%=7.42.
4. We know, that x% equals 5.07 of the output value, so we can write it down as x%=5.07.
5. Now we have two simple equations:
1) 100%=7.42
2) x%=5.07
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%=7.42/5.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.07 is what percent of 7.42

100%/x%=7.42/5.07
(100/x)*x=(7.42/5.07)*x       - we multiply both sides of the equation by x
100=1.4635108481262*x       - we divide both sides of the equation by (1.4635108481262) to get x
100/1.4635108481262=x
68.32884097035=x
x=68.32884097035

now we have:
5.07 is 68.32884097035% of 7.42