61.74 is what percent of 117.9 - 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 117.9 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 117.9, so we can write it down as 100%=117.9.
4. We know, that x% equals 61.74 of the output value, so we can write it down as x%=61.74.
5. Now we have two simple equations:
1) 100%=117.9
2) x%=61.74
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%=117.9/61.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.74 is what percent of 117.9

100%/x%=117.9/61.74
(100/x)*x=(117.9/61.74)*x       - we multiply both sides of the equation by x
100=1.9096209912536*x       - we divide both sides of the equation by (1.9096209912536) to get x
100/1.9096209912536=x
52.36641221374=x
x=52.36641221374

now we have:
61.74 is 52.36641221374% of 117.9