22.49 is what percent of 340 - 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 340 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 340, so we can write it down as 100%=340.
4. We know, that x% equals 22.49 of the output value, so we can write it down as x%=22.49.
5. Now we have two simple equations:
1) 100%=340
2) x%=22.49
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%=340/22.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.49 is what percent of 340

100%/x%=340/22.49
(100/x)*x=(340/22.49)*x       - we multiply both sides of the equation by x
100=15.117830146732*x       - we divide both sides of the equation by (15.117830146732) to get x
100/15.117830146732=x
6.6147058823529=x
x=6.6147058823529

now we have:
22.49 is 6.6147058823529% of 340