7.97 is what percent of 4.974 - 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 4.974 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 4.974, so we can write it down as 100%=4.974.
4. We know, that x% equals 7.97 of the output value, so we can write it down as x%=7.97.
5. Now we have two simple equations:
1) 100%=4.974
2) x%=7.97
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%=4.974/7.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.97 is what percent of 4.974

100%/x%=4.974/7.97
(100/x)*x=(4.974/7.97)*x       - we multiply both sides of the equation by x
100=0.62409033877039*x       - we divide both sides of the equation by (0.62409033877039) to get x
100/0.62409033877039=x
160.23321270607=x
x=160.23321270607

now we have:
7.97 is 160.23321270607% of 4.974