3.4 is what percent of 157.6 - 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 157.6 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 157.6, so we can write it down as 100%=157.6.
4. We know, that x% equals 3.4 of the output value, so we can write it down as x%=3.4.
5. Now we have two simple equations:
1) 100%=157.6
2) x%=3.4
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%=157.6/3.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.4 is what percent of 157.6

100%/x%=157.6/3.4
(100/x)*x=(157.6/3.4)*x       - we multiply both sides of the equation by x
100=46.352941176471*x       - we divide both sides of the equation by (46.352941176471) to get x
100/46.352941176471=x
2.1573604060914=x
x=2.1573604060914

now we have:
3.4 is 2.1573604060914% of 157.6