38.03 is what percent of 4.67 - 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 4.67 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 4.67, so we can write it down as 100%=4.67.
4. We know, that x% equals 38.03 of the output value, so we can write it down as x%=38.03.
5. Now we have two simple equations:
1) 100%=4.67
2) x%=38.03
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%=4.67/38.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.03 is what percent of 4.67

100%/x%=4.67/38.03
(100/x)*x=(4.67/38.03)*x       - we multiply both sides of the equation by x
100=0.12279779121746*x       - we divide both sides of the equation by (0.12279779121746) to get x
100/0.12279779121746=x
814.34689507495=x
x=814.34689507495

now we have:
38.03 is 814.34689507495% of 4.67