1.98 is what percent of 212.96 - 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 212.96 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 212.96, so we can write it down as 100%=212.96.
4. We know, that x% equals 1.98 of the output value, so we can write it down as x%=1.98.
5. Now we have two simple equations:
1) 100%=212.96
2) x%=1.98
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%=212.96/1.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.98 is what percent of 212.96

100%/x%=212.96/1.98
(100/x)*x=(212.96/1.98)*x       - we multiply both sides of the equation by x
100=107.55555555556*x       - we divide both sides of the equation by (107.55555555556) to get x
100/107.55555555556=x
0.9297520661157=x
x=0.9297520661157

now we have:
1.98 is 0.9297520661157% of 212.96