34.71 is what percent of 62 - 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 62 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 62, so we can write it down as 100%=62.
4. We know, that x% equals 34.71 of the output value, so we can write it down as x%=34.71.
5. Now we have two simple equations:
1) 100%=62
2) x%=34.71
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%=62/34.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.71 is what percent of 62

100%/x%=62/34.71
(100/x)*x=(62/34.71)*x       - we multiply both sides of the equation by x
100=1.7862287525209*x       - we divide both sides of the equation by (1.7862287525209) to get x
100/1.7862287525209=x
55.983870967742=x
x=55.983870967742

now we have:
34.71 is 55.983870967742% of 62