62 is what percent of 1981.67 - 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 1981.67 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 1981.67, so we can write it down as 100%=1981.67.
4. We know, that x% equals 62 of the output value, so we can write it down as x%=62.
5. Now we have two simple equations:
1) 100%=1981.67
2) x%=62
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%=1981.67/62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62 is what percent of 1981.67

100%/x%=1981.67/62
(100/x)*x=(1981.67/62)*x       - we multiply both sides of the equation by x
100=31.962419354839*x       - we divide both sides of the equation by (31.962419354839) to get x
100/31.962419354839=x
3.1286742999591=x
x=3.1286742999591

now we have:
62 is 3.1286742999591% of 1981.67