29.38 is what percent of 456.7 - 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 456.7 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 456.7, so we can write it down as 100%=456.7.
4. We know, that x% equals 29.38 of the output value, so we can write it down as x%=29.38.
5. Now we have two simple equations:
1) 100%=456.7
2) x%=29.38
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%=456.7/29.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.38 is what percent of 456.7

100%/x%=456.7/29.38
(100/x)*x=(456.7/29.38)*x       - we multiply both sides of the equation by x
100=15.544588155208*x       - we divide both sides of the equation by (15.544588155208) to get x
100/15.544588155208=x
6.4331070724765=x
x=6.4331070724765

now we have:
29.38 is 6.4331070724765% of 456.7