34.9 is what percent of 58.74 - 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 58.74 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 58.74, so we can write it down as 100%=58.74.
4. We know, that x% equals 34.9 of the output value, so we can write it down as x%=34.9.
5. Now we have two simple equations:
1) 100%=58.74
2) x%=34.9
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%=58.74/34.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.9 is what percent of 58.74

100%/x%=58.74/34.9
(100/x)*x=(58.74/34.9)*x       - we multiply both sides of the equation by x
100=1.6830945558739*x       - we divide both sides of the equation by (1.6830945558739) to get x
100/1.6830945558739=x
59.414368403132=x
x=59.414368403132

now we have:
34.9 is 59.414368403132% of 58.74