4.42 is what percent of 6987.79 - 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 6987.79 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 6987.79, so we can write it down as 100%=6987.79.
4. We know, that x% equals 4.42 of the output value, so we can write it down as x%=4.42.
5. Now we have two simple equations:
1) 100%=6987.79
2) x%=4.42
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%=6987.79/4.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.42 is what percent of 6987.79

100%/x%=6987.79/4.42
(100/x)*x=(6987.79/4.42)*x       - we multiply both sides of the equation by x
100=1580.9479638009*x       - we divide both sides of the equation by (1580.9479638009) to get x
100/1580.9479638009=x
0.063253188776423=x
x=0.063253188776423

now we have:
4.42 is 0.063253188776423% of 6987.79