1.57 is what percent of 64.91 - 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 64.91 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 64.91, so we can write it down as 100%=64.91.
4. We know, that x% equals 1.57 of the output value, so we can write it down as x%=1.57.
5. Now we have two simple equations:
1) 100%=64.91
2) x%=1.57
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%=64.91/1.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.57 is what percent of 64.91

100%/x%=64.91/1.57
(100/x)*x=(64.91/1.57)*x       - we multiply both sides of the equation by x
100=41.343949044586*x       - we divide both sides of the equation by (41.343949044586) to get x
100/41.343949044586=x
2.4187336311816=x
x=2.4187336311816

now we have:
1.57 is 2.4187336311816% of 64.91