70.84 is what percent of 194.64 - 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 194.64 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 194.64, so we can write it down as 100%=194.64.
4. We know, that x% equals 70.84 of the output value, so we can write it down as x%=70.84.
5. Now we have two simple equations:
1) 100%=194.64
2) x%=70.84
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%=194.64/70.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.84 is what percent of 194.64

100%/x%=194.64/70.84
(100/x)*x=(194.64/70.84)*x       - we multiply both sides of the equation by x
100=2.7476002258611*x       - we divide both sides of the equation by (2.7476002258611) to get x
100/2.7476002258611=x
36.395396629675=x
x=36.395396629675

now we have:
70.84 is 36.395396629675% of 194.64