What is 62.6 percent of 0.87 - 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 0.87 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 0.87 is 100%, so we can write it down as 0.87=100%.
4. We know, that x is 62.6% of the output value, so we can write it down as x=62.6%.
5. Now we have two simple equations:
1) 0.87=100%
2) x=62.6%
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:
0.87/x=100%/62.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 62.6% of 0.87

0.87/x=100/62.6
(0.87/x)*x=(100/62.6)*x       - we multiply both sides of the equation by x
0.87=1.5974440894569*x       - we divide both sides of the equation by (1.5974440894569) to get x
0.87/1.5974440894569=x
0.54462=x
x=0.54462

now we have:
62.6% of 0.87=0.54462