What is 34.6428 percent of 170 - 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 170 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 170 is 100%, so we can write it down as 170=100%.
4. We know, that x is 34.6428% of the output value, so we can write it down as x=34.6428%.
5. Now we have two simple equations:
1) 170=100%
2) x=34.6428%
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:
170/x=100%/34.6428%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 34.6428% of 170

170/x=100/34.6428
(170/x)*x=(100/34.6428)*x       - we multiply both sides of the equation by x
170=2.8866026995508*x       - we divide both sides of the equation by (2.8866026995508) to get x
170/2.8866026995508=x
58.89276=x
x=58.89276

now we have:
34.6428% of 170=58.89276