46.03 is what percent of 742.4 - 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 742.4 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 742.4, so we can write it down as 100%=742.4.
4. We know, that x% equals 46.03 of the output value, so we can write it down as x%=46.03.
5. Now we have two simple equations:
1) 100%=742.4
2) x%=46.03
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%=742.4/46.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.03 is what percent of 742.4

100%/x%=742.4/46.03
(100/x)*x=(742.4/46.03)*x       - we multiply both sides of the equation by x
100=16.128611774929*x       - we divide both sides of the equation by (16.128611774929) to get x
100/16.128611774929=x
6.200161637931=x
x=6.200161637931

now we have:
46.03 is 6.200161637931% of 742.4