340.28 is what percent of 1659.07 - 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 1659.07 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 1659.07, so we can write it down as 100%=1659.07.
4. We know, that x% equals 340.28 of the output value, so we can write it down as x%=340.28.
5. Now we have two simple equations:
1) 100%=1659.07
2) x%=340.28
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%=1659.07/340.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 340.28 is what percent of 1659.07

100%/x%=1659.07/340.28
(100/x)*x=(1659.07/340.28)*x       - we multiply both sides of the equation by x
100=4.8756024450453*x       - we divide both sides of the equation by (4.8756024450453) to get x
100/4.8756024450453=x
20.510285883055=x
x=20.510285883055

now we have:
340.28 is 20.510285883055% of 1659.07