7.43 is what percent of 512.5 - 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 512.5 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 512.5, so we can write it down as 100%=512.5.
4. We know, that x% equals 7.43 of the output value, so we can write it down as x%=7.43.
5. Now we have two simple equations:
1) 100%=512.5
2) x%=7.43
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%=512.5/7.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.43 is what percent of 512.5

100%/x%=512.5/7.43
(100/x)*x=(512.5/7.43)*x       - we multiply both sides of the equation by x
100=68.977119784657*x       - we divide both sides of the equation by (68.977119784657) to get x
100/68.977119784657=x
1.449756097561=x
x=1.449756097561

now we have:
7.43 is 1.449756097561% of 512.5