7.47 is what percent of 463.35 - 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 463.35 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 463.35, so we can write it down as 100%=463.35.
4. We know, that x% equals 7.47 of the output value, so we can write it down as x%=7.47.
5. Now we have two simple equations:
1) 100%=463.35
2) x%=7.47
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%=463.35/7.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.47 is what percent of 463.35

100%/x%=463.35/7.47
(100/x)*x=(463.35/7.47)*x       - we multiply both sides of the equation by x
100=62.028112449799*x       - we divide both sides of the equation by (62.028112449799) to get x
100/62.028112449799=x
1.6121722240207=x
x=1.6121722240207

now we have:
7.47 is 1.6121722240207% of 463.35