4.84 is what percent of 61 - 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 61 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 61, so we can write it down as 100%=61.
4. We know, that x% equals 4.84 of the output value, so we can write it down as x%=4.84.
5. Now we have two simple equations:
1) 100%=61
2) x%=4.84
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%=61/4.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.84 is what percent of 61

100%/x%=61/4.84
(100/x)*x=(61/4.84)*x       - we multiply both sides of the equation by x
100=12.603305785124*x       - we divide both sides of the equation by (12.603305785124) to get x
100/12.603305785124=x
7.9344262295082=x
x=7.9344262295082

now we have:
4.84 is 7.9344262295082% of 61