61.67 is what percent of 84.7 - 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 84.7 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 84.7, so we can write it down as 100%=84.7.
4. We know, that x% equals 61.67 of the output value, so we can write it down as x%=61.67.
5. Now we have two simple equations:
1) 100%=84.7
2) x%=61.67
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%=84.7/61.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.67 is what percent of 84.7

100%/x%=84.7/61.67
(100/x)*x=(84.7/61.67)*x       - we multiply both sides of the equation by x
100=1.3734392735528*x       - we divide both sides of the equation by (1.3734392735528) to get x
100/1.3734392735528=x
72.809917355372=x
x=72.809917355372

now we have:
61.67 is 72.809917355372% of 84.7