98.42 is what percent of 2734 - 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 2734 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 2734, so we can write it down as 100%=2734.
4. We know, that x% equals 98.42 of the output value, so we can write it down as x%=98.42.
5. Now we have two simple equations:
1) 100%=2734
2) x%=98.42
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%=2734/98.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.42 is what percent of 2734

100%/x%=2734/98.42
(100/x)*x=(2734/98.42)*x       - we multiply both sides of the equation by x
100=27.778906726275*x       - we divide both sides of the equation by (27.778906726275) to get x
100/27.778906726275=x
3.5998536942209=x
x=3.5998536942209

now we have:
98.42 is 3.5998536942209% of 2734