0.98 is what percent of 145.7 - 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 145.7 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 145.7, so we can write it down as 100%=145.7.
4. We know, that x% equals 0.98 of the output value, so we can write it down as x%=0.98.
5. Now we have two simple equations:
1) 100%=145.7
2) x%=0.98
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%=145.7/0.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.98 is what percent of 145.7

100%/x%=145.7/0.98
(100/x)*x=(145.7/0.98)*x       - we multiply both sides of the equation by x
100=148.67346938776*x       - we divide both sides of the equation by (148.67346938776) to get x
100/148.67346938776=x
0.6726149622512=x
x=0.6726149622512

now we have:
0.98 is 0.6726149622512% of 145.7